SELIGMAN HIGH INCOME FUND SERIES
N-30D, 1998-02-27
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                                    SELIGMAN



                                    SELIGMAN
                                      U.S. 
                                   GOVERNMENT 
                                   SECURITIES 
                                     SERIES

- ------------------------------------------------------------------------------
                         Seeking High Current Income By
                      Investing In US Government Securities

                       DECEMBER 31, 1997  *  ANNUAL REPORT



<PAGE>

- ------------------------------------------------------------------------------
To the Shareholders

     For the 12  months  ended  December  31,  1997,  Seligman  U.S.  Government
Securities  Series  posted a solid total  return of 8.53% based on the net asset
value of Class A shares.  The Fund's peers, as measured by the Lipper General US
Government  Bond Funds  Average,  had a total return of 8.96% for the year.  The
Lehman Brothers  Government Bond Index had a total return of 9.59% for the year.

     This was the  seventh  year of  economic  expansion  in the US,  with  real
domestic growth of 3.8%.  Consumer price inflation  slowed to under 2%, interest
rates moved steadily lower, productivity rose, and unemployment  levels reached
27-year lows.  Meanwhile, the federal budget deficit virtually  disappeared and
corporate  profits  posted a third consecutive year of strong  gains.  Despite
year-end problems in Asia, the domestic business environment remained positive.
Except for a one-quarter percentage point increase in March, the Federal Reserve
Board left interest rates untouched this year.

     Despite  occasional  setbacks  tied to  fears  of  inflation  and  concerns
regarding the  possibility of further Fed interventions, 1997 was a successful
year for the fixed-income  markets.  Once the effects of the March adjustment in
the federal funds rate had subsided,  yields  progressively  trended downward as
prices  improved.  Investors  slowly grew more at ease with the rate of economic
growth and the sustainability of the low-inflation environment.  This prompted a
rally that began at the end of the second quarter. Following the crisis in Asia,
investors moved out of the equity markets and into US Treasury securities,
driving yields down and prices up further in the fourth quarter.

     The low-interest-rate  environment reduced the difference between long-term
and short-term  bond yields.  Investors took advantage of the flattening  yield
curve, increasing their weighting in long-term bonds, as the best price
performance is found in long-term  bonds when yields move lower.  Over the year,
the Fund's maturity had gradually been lengthened in anticipation of the reduced
interest rate environment, and this  strategic  decision  improved the Fund's
overall investment results.  The yield on the benchmark 30-year US Treasury bond
dipped below 6.00%, to end the year at 5.92%, significantly lower than the 6.64%
yield on December 31, 1996.

     The outlook for the fixed-income markets remains positive. The Asian crisis
could have a negative effect on corporate profitability and slow the growth of
the economy,  making fixed-income  securities more attractive.  Barring problems
caused by the tightness of the labor market, we expect a continuation of the
current low-inflation and low-interest-rate environment.  In  this  type  of
environment, the yields available in the US Treasury market remain  attractive.
Further,  the reduced  deficit may allow the US Treasury to offer fewer bonds in
1998, reducing supply, which should improve the prices of the Fund's holdings.

     Thank you for your continued support of Seligman U.S. Government Securities
Series.  We look forward to serving your  investment  needs in the many years to
come.  A discussion with your Portfolio Manager,  the  Fund's  portfolio  of
investments, and financial statements, follow this letter.   Additional
information on the Fund's investment results appears starting on page 4.

By order of the Trustees,


/s/ William c. Morris
- ----------------------
William C. Morris
Chairman
                                                                
                                                              /s/Brian T. Zino
                                                              -----------------
                                                                  Brian T. Zino
                                                                  President

January 30, 1998
                                                                            1

<PAGE>

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Interview With Your Portfolio Manager, Leonard J. Lovito


Q.   How did Seligman U.S.  Government  Securities Series perform in the last 12
     months? 

A.   For the 12  months  ended  December  31,  1997,  Seligman  U.S.  Government
     Securities Series posted an 8.53% total return based on the net asset value
     of Class A shares.  This compares to the Lipper General US Government  Bond
     Funds Average's total return of 8.96%. The Fund lengthened  maturities most
     significantly  during the final  quarter of the year,  taking  advantage of
     falling bond yields and rising prices. The Lehman Brothers  Government Bond
     Index,  which measures the  performance of government  bonds in the market,
     had a total return of 9.59% for the year.

Q.   How did economic and market factors influence the Fund's results in 1997?

A.   This was a year of solid economic  growth  accompanied by  disinflation  (a
     slowdown in the rate of inflation).  However,  it took time for bond market
     participants  to be convinced that solid economic growth could coexist with
     low  inflation.  This  sentiment was shared by the Federal  Reserve  Board,
     which raised the federal funds rate by 25 percentage  points in March.  The
     tightening of monetary policy drove the benchmark  30-year US Treasury bond
     yield higher, to peak at 7.17% in April.  However,  as the year progressed,
     bond yields  traded  lower as it became  evident that the rate of inflation
     was  declining.  In concert with  falling  unemployment  and rising  wages,
     worker productivity  increased,  which made it unnecessary for producers to
     raise prices to defray higher costs.

         In the fixed-income markets, positive sentiment gained momentum during
     the fourth quarter as the Asian crisis led to a surge in demand  for US
     Treasuries.  Global production overcapacity and currency  devaluations
     participated in the disinflationary trend, as commodity  prices continued
     their  descent and the US dollar strengthened.  Seligman U.S. Government
     Securities Series took advantage of these events and lengthened its
     portfolio's maturities, particularly during the fourth quarter, in
     anticipation of a continuing decline in interest rates.

Q.   What was your investment strategy?

A.   The Funds' portfolio entered 1997 with an average maturity that was in line
     with its peers. The portfolio's 


- ------------------------------------------------------------------------------
A TEAM APPROACH

Seligman U.S. Government Securities Series is managed by the Seligman
Taxable Fixed Income Team. Leonard J. Lovito, Portfolio Manager, is assisted by
seasoned research  professionals who identify securities that are backed by the
full faith and credit of the US government.  The Team seeks to position the Fund
so as to minimize the negative effects of any sharp rise in interest rates while
maximizing current income.

Seligman Taxable Fixed Income Team: (from  left) Nicholas Walsh, Susan Egan,
(seated) Leonard J. Lovito (Portfolio Manager)
- ------------------------------------------------------------------------------

2


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Interview With Your Portfolio Manager, Leonard J. Lovito

holdings of  mortgage-backed  securities  were  increased, as they  have  higher
yields and have historically  outperformed US Treasury  securities in stable and
higher interest rate  environments.  After the Fed raised the federal funds rate
by 0.25 to 5.50% late in the first  quarter,  the Fund  shortened  maturities in
anticipation of further monetary tightening and robust economic growth. This was
a successful  strategy until economic activity  moderated in the second quarter.
Thereafter,  the bond market  reversed course and rallied through July. The Fund
lagged its peers during the rally but  narrowed  the gap in the fourth  quarter,
when  the  portfolio's  maturities  were  lengthened.   Longer  maturities  were
purchased in  response to the  disinflationary trend, the surging US dollar, and
the Asian financial crisis.

Q.  What is the outlook?

A.  As we enter 1998, the Fund's longer maturities remain  in  the
    portfolio, as the Asian financial crisis is  expected  to slow the US
    economy.  Additionally, the possibility of deflation  (declining  prices
    for goods and services) exists, as evidenced by falling commodity
    prices, continuing improvements in  worker  productivity, and ongoing
    fierce global competition.  Finally, the  declining  budget deficit could
    reduce the need for the US Treasury to issue  securities.  If  US
    Treasury issuance were to  decline, the  balance  of supply and demand
    would be altered, with greater capital chasing fewer bonds.  These
    events could lead to further declines in bond yields and enhanced
    returns in the Seligman U.S.Government Securities Series. 

3

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Performance Overview

     This chart compares a $10,000 hypothetical investment made in Seligman U.S.
Government Securities  Series  Class A shares,  with and  without  the  maximum
initial sales charge of 4.75% for the 10-year period ended December 31, 1997, to
a $10,000 investment made in the Lipper General US Government Bond Funds Average
(Lipper  Average), the Lipper General US  Government  Bond Fund Index  (Lipper
Index), and the Lehman Brothers Government Bond Index (Lehman Bond Index) for
the same period. The performances of Seligman U.S. Government  Securities Series
Class B and Class D shares are not shown in this chart, but are included in the
table on page 5. It is  important  to keep in mind that the Lipper Index  and
Lipper Average exclude the effect of sales  charges, and the Lehman Bond Index
excludes the effect of fees and sales charges.

     Seligman U.S.  Government  Securities  Series will no longer be compared to
the Lipper Index after December 31, 1997. Instead,  the Fund will be compared to
the Lipper Average, which measures the  performance of the entire  universe of
funds that have similar investment objectives to your Fund. The Manager believes
that the Lipper  Average is more  appropriate  than the more  narrowly  focused
Lipper Index, which measures the performance of only 30 funds.  Therefore, your
Fund will continue to be compared  to the Lipper  Average and the Lehman Bond
Index.


USG Plot Points 

            Without       With                   Lehman
             Sales       Sales    Lipper Index    Bond    Lipper Average
            Charge       Charge                   Index
12/31/87    $10,000      $9,519      $10,000     $10,000     $10,000
3/31/88     $10,425      $9,924      $10,335     $10,330     $10,330
6/30/88     $10,527     $10,020      $10,432     $10,427     $10,435
9/30/88     $10,687     $10,172      $10,603     $10,603     $10,599
12/31/88    $10,784     $10,265      $10,665     $10,703     $10,664
3/31/89     $10,798     $10,278      $10,749     $10,816     $10,760
6/30/89     $11,372     $10,824      $11,510     $11,686     $11,504
9/30/89     $11,443     $10,892      $11,586     $11,783     $11,591
12/31/89    $11,782     $11,215      $11,989     $12,226     $11,986
3/31/90     $11,493     $10,940      $11,839     $12,075     $11,856
6/30/90     $11,823     $11,254      $12,214     $12,497     $12,237
9/30/90     $11,891     $11,319      $12,285     $12,601     $12,305
12/31/90    $12,533     $11,930      $12,951     $13,293     $12,955
3/31/91     $12,733     $12,120      $13,231     $13,581     $13,223
6/30/91     $12,917     $12,295      $13,374     $13,764     $13,375
9/30/91     $13,624     $12,968      $14,137     $14,549     $14,137
12/31/91    $14,294     $13,606      $14,847     $15,329     $14,851
3/31/92     $13,989     $13,316      $14,581     $15,061     $14,567
6/30/92     $14,531     $13,832      $15,116     $15,657     $15,106
9/30/92     $15,125     $14,397      $15,709     $16,430     $15,739
12/31/92    $15,120     $14,392      $15,753     $16,437     $15,787
3/31/93     $15,556     $14,807      $16,312     $17,180     $16,420
6/30/93     $15,918     $15,152      $16,723     $17,676     $16,852
9/30/93     $16,301     $15,516      $17,118     $18,251     $17,315
12/31/93    $16,247     $15,465      $17,066     $18,189     $17,248
3/31/94     $15,913     $15,147      $16,532     $17,641     $16,693
6/30/94     $15,658     $14,904      $16,209     $17,440     $16,411
9/30/94     $15,699     $14,943      $16,231     $17,514     $16,426
12/31/94    $15,617     $14,866      $16,252     $17,575     $16,468
3/31/95     $16,185     $15,406      $16,984     $18,403     $17,231
6/30/95     $17,214     $16,385      $17,924     $19,544     $18,232
9/30/95     $17,479     $16,638      $18,241     $19,889     $18,563
12/31/95    $18,452     $17,564      $19,002     $20,798     $19,391
3/31/96     $17,809     $16,952      $18,551     $20,328     $18,871
6/30/96     $17,739     $16,886      $18,567     $20,426     $18,882
9/30/96     $17,964     $17,100      $18,860     $20,769     $19,170
12/31/96    $18,397     $17,512      $19,388     $21,376     $19,716
3/31/97     $18,217     $17,340      $19,228     $21,202     $19,520
6/30/97     $18,792     $17,887      $19,893     $21,938     $20,203
9/30/97     $19,262     $18,335      $20,512     $22,673     $20,855
12/31/97    $19,966     $19,005      $21,095     $23,426     $21,482


     Although  the payment of  principal  and  interest  with respect to certain
long-term  securities  held in Seligman U.S.  Government  Securities  Series are
guaranteed by the US  Government  or its agencies,  the rate of return will vary
and the principal value of an investment in the Fund will fluctuate.  Shares, if
redeemed,  may be worth more or less than their original cost. Past  performance
is not indicative of future investment results.

4

<PAGE>

- ------------------------------------------------------------------------------
Performance Overview

INVESTMENT RESULTS PER SHARE

TOTAL RETURNS
For Periods Ended December 31, 1997

<TABLE>
<CAPTION>
                                                                              AVERAGE ANNUAL
                                                      ---------------------------------------------------------------
                                                                                              CLASS B       CLASS D
                                                                                               SINCE         SINCE
                                                        ONE        FIVE            10        INCEPTION     INCEPTION
                                     SIX MONTHS*       YEAR        YEARS          YEARS       1/1/97        9/21/93
                                     -----------      ------      -------        -------    -----------    ----------
<S>                                      <C>            <C>         <C>           <C>       <C>            <C>
CLASS A**
With Sales Charge                        1.24%          3.44%       4.69%         6.63%            n/a            n/a
Without Sales Charge                     6.25           8.53        5.72          7.16             n/a            n/a

CLASS B**
With 5% CDSL                             0.83           2.32          n/a           n/a          2.32%            n/a
Without CDSL                             5.83           7.32          n/a           n/a          7.32             n/a

CLASS D**
With 1% CDSL                             4.83           6.53         n/a            n/a            n/a            n/a
Without CDSL                             5.83           7.53         n/a            n/a            n/a          3.88%

LIPPER AVERAGE+                          6.33           8.96        6.35          7.95           8.96           5.20++

LIPPER INDEX+                            6.05           8.81        6.02          7.75           8.81           5.05++

LEHMAN BOND INDEX+                       6.78           9.59        7.34          8.89           9.59           6.05++
</TABLE>


<TABLE>
<CAPTION>
NET ASSET VALUE                                                   DIVIDEND AND YIELD INFORMATION
                                                                  For the Year Ended December 31, 1997

            DECEMBER 31,    JUNE 30,     DECEMBER 31,
                1997          1997          1996                               DIVIDENDS0      YIELD+++
            -------------  ---------     ------------                          ----------      --------
<S>         <C>            <C>           <C>                       <C>           <C>  
CLASS A        $6.88         $6.66         $6.71                   CLASS A       $0.3808         5.04%
CLASS B         6.89          6.67          6.73***                CLASS B        0.3291         4.52
CLASS D         6.89          6.67          6.73                   CLASS D        0.3291         4.52
</TABLE>

WEIGHTED AVERAGE MATURITY                 21.69 years

- ---------------
   * Returns for periods of less than one year are not annualized.

  ** Return figures reflect any change in price per share and assume the
     investment of dividends and capital gain distributions. Returns for Class A
     shares are calculated with and without the effect of the initial 4.75%
     maximum sales charge. Returns for Class B shares are calculated with and
     without the effect of the maximum 5% contingent deferred sales load
     ("CDSL"), charged only on redemptions made within one year of the date of
     purchase, declining to 1% in the sixth year and 0% thereafter. Returns for
     Class D shares are calculated with and without the effect of the 1% CDSL,
     charged only on redemptions made within one year of the date of purchase.

 *** From January 1, 1997, inception date of Class B shares.

   + The Lipper Average, the Lipper Index, and the Lehman Bond Index are
     unmanaged benchmarks that assume investment of dividends. The Lipper
     Average and the Lipper Index exclude the effect of sales charges. The
     Lehman Bond Index excludes the effect of fees and sales charges. The
     monthly performances of the Lipper Average are used for the Performance
     Overview. Investors cannot invest directly in an average or an index.

  ++ From September 30, 1993.

 +++ Current yield, representing the annualized yield for the 30-day period
     ended December 31, 1997, has been computed in accordance with SEC
     regulations and will vary.

   0 Represents per share amount paid or declared for the year ended December 
     31, 1997.
                                                                            5


<PAGE>

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Portfolio of Investments
December 31, 1997

<TABLE>
<CAPTION>
                                                                                            PRINCIPAL
                                                                                             AMOUNT            VALUE
                                                                                           -----------      -----------
<S>                                                                                      <C>                <C>
US GOVERNMENT SECURITIES  60.4%

US Treasury Bonds:
   8 3/4%, due 5/15/2020.......................................................          $ 6,000,000        $ 7,991,256
   6 5/8%, due 2/15/2027.......................................................           15,000,000         16,284,390

US Treasury Notes:
   6 1/4%, due 6/30/2002.......................................................            4,000,000          4,082,504
   6 5/8%, due 5/15/2007.......................................................            8,000,000          8,472,504
                                                                                                            -----------
TOTAL US GOVERNMENT SECURITIES (Cost $35,627,812)..............................                              36,830,654
                                                                                                            -----------
US GOVERNMENT AGENCY SECURITIES  36.2% (Cost $20,992,978)

Government National Mortgage Association Obligations,
Mortgage-backed Pass-through Certificates:
   7 1/2%, with various maturities from 1/15/2023 to 4/15/2027*................           21,478,908         22,053,688
                                                                                                            -----------
REPURCHASE AGREEMENTS  6.0% (Cost $3,671,000)

HSBC Securities Inc., 5%, maturing 1/2/1998 collateralized by:
   $2,856,000 US Treasury Notes 11 7/8%, due 11/15/2003, with a fair
   market value of $3,757,681..................................................            3,671,000          3,671,000
                                                                                                            -----------

TOTAL INVESTMENTS  102.6% (Cost $60,291,790)..........................................................       62,555,342

OTHER ASSETS LESS LIABILITIES  (2.6)%.................................................................       (1,560,453)
                                                                                                            -----------
NET ASSETS  100.0%....................................................................................      $60,994,889
                                                                                                            ===========
</TABLE>

- -------------
* Investments in mortgage-backed securities are subject to principal paydowns.
  As a result of prepayments from refinancing or satisfaction of the underlying
  mortgage instruments, the average life may be less than the original maturity.
  This, in turn, may impact the ultimate yield realized from these securities.

See Notes to Financial Statements.


6

<PAGE>

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Statement of Assets and Liabilities
December 31, 1997

<TABLE>
<S>                                                                                     <C>                           <C>
ASSETS:
Investments, at value:
  Long-term holdings (cost $56,620,790).............................................    $58,884,342
  Short-term holdings (cost $3,671,000).............................................      3,671,000                   $62,555,342
                                                                                        -----------
Cash                                                                                                                       30,049
Interest receivable................................................................................                       647,776
Receivable for shares of Beneficial Interest sold..................................................                       149,884
Expenses prepaid to shareholder service agent......................................................                         9,884
Other..............................................................................................                        19,821
                                                                                                                      -----------
Total Assets.......................................................................................                    63,412,756
                                                                                                                      -----------
LIABILITIES:
Payable for shares of Beneficial Interest repurchased..............................................                     2,175,708
Dividends payable..................................................................................                       121,889
Accrued expenses, taxes, and other.................................................................                       120,270
                                                                                                                      -----------
Total Liabilities..................................................................................                     2,417,867
                                                                                                                      -----------
Net Assets.........................................................................................                   $60,994,889
                                                                                                                      ===========
COMPOSITION OF NET ASSETS:
Shares of Beneficial Interest, at par ($.001 par value; unlimited shares
authorized; 8,865,994 shares outstanding):
  Class A..........................................................................................                   $     6,606
  Class B..........................................................................................                           467
  Class D..........................................................................................                         1,793
Additional paid-in capital.........................................................................                    72,981,796
Accumulated net realized loss......................................................................                   (14,259,325)
Net unrealized appreciation of investments.........................................................                     2,263,552
                                                                                                                      -----------
Net Assets.........................................................................................                   $60,994,889
                                                                                                                      ===========
NET ASSET VALUE PER SHARE:

Class A ($45,425,627 / 6,605,989 shares)...........................................................                         $6.88
                                                                                                                            =====
Class B ($3,219,604 / 467,356 shares)..............................................................                         $6.89
                                                                                                                            =====
Class D ($12,349,658 / 1,792,649 shares)...........................................................                         $6.89
                                                                                                                            =====
</TABLE>
- -------------
See Notes to Financial Statements.
                                                                            7

<PAGE>

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Statement of Operations
For the Year Ended December 31, 1997

<TABLE>
<S>                                                                                    <C>                             <C>
INVESTMENT INCOME:

Interest.........................................................................................                      $3,758,646

EXPENSES:

Management fee....................................................................     $  271,995
Distribution and service fees.....................................................        197,450
Shareholder account services......................................................        117,897
Registration......................................................................         83,220
Shareholder reports and communications............................................         28,461
Custody and related services......................................................         18,851
Auditing and legal fees...........................................................          9,561
Trustees' fees and expenses.......................................................          9,458
Miscellaneous.....................................................................          8,512
                                                                                       ----------
Total Expenses...................................................................................                         745,405
                                                                                                                       ----------
Net Investment Income............................................................................                       3,013,241

NET REALIZED AND UNREALIZED
GAIN (LOSS) ON INVESTMENTS:
Net realized loss on investments..................................................       (611,943)
Net change in unrealized appreciation of investments..............................      1,949,757
                                                                                       ----------
Net Gain on Investments..........................................................................                       1,337,814
                                                                                                                       ----------
Increase in Net Assets from Operations...........................................................                      $4,351,055
                                                                                                                       ==========
</TABLE>
- --------------
See Notes to Financial Statements.

8

<PAGE>

- ------------------------------------------------------------------------------
Statements of Changes in Net Assets
<TABLE>
<CAPTION>

                                                                                                    YEAR ENDED DECEMBER 31,
                                                                                              ---------------------------------
                                                                                                   1997                 1996
                                                                                              ------------          -----------
<S>                                                                                           <C>                   <C>
OPERATIONS:
Net investment income...................................................................       $ 3,013,241           $3,451,825
Net realized loss on investments........................................................          (611,943)            (531,212)
Net change in unrealized appreciation of investments....................................         1,949,757           (3,266,304)
                                                                                                ----------           ----------
Increase (Decrease) in Net Assets from Operations.......................................         4,351,055             (345,691)
                                                                                                ----------           ----------
DISTRIBUTIONS TO SHAREHOLDERS:
Net investment income:
   Class A..............................................................................        (2,522,929)          (2,998,077)
   Class B..............................................................................           (45,289)                  --
   Class D..............................................................................          (445,023)            (453,748)
                                                                                                 ----------          ----------
Decrease in Net Assets from Distributions ..............................................        (3,013,241)          (3,451,825)
                                                                                                 ----------          ----------
</TABLE>

<PAGE>

<TABLE>
<CAPTION>

                                                                     SHARES
                                                         ------------------------------
                                                             YEAR ENDED DECEMBER 31,
                                                         ------------------------------
                                                             1997               1996
                                                         -----------        -----------
<S>                                                      <C>               <C>               <C>                   <C>
TRANSACTIONS IN SHARES
OF BENEFICIAL INTEREST:*
Net proceeds from sale of shares:
   Class A............................................      829,234           781,071            5,624,748             5,275,155
   Class B............................................      182,897                --            1,228,800                    --
   Class D............................................      198,244           428,534            1,326,662             2,920,596
Investment of dividends:
   Class A ...........................................      202,913           224,948            1,359,967             1,522,409
   Class B............................................        5,291                --               35,836                    --
   Class D............................................       42,659            48,704              286,730               329,724
Exchanged from associated Funds:
   Class A............................................    1,572,537           487,261           10,660,240             3,303,371
   Class B ...........................................      574,598                --            3,899,673                    --
   Class D ...........................................    1,591,469           585,467           10,742,800             3,947,861
                                                          ---------         ---------           ----------            ----------
Total.................................................    5,199,842         2,555,985           35,165,456            17,299,116
                                                          ---------         ---------           ----------            ----------
Cost of shares repurchased:
   Class A ...........................................   (1,364,274)       (1,236,706)          (9,183,343)           (8,375,696)
   Class B ...........................................      (14,942)               --             (101,411)                   --
   Class D ...........................................     (369,696)         (333,282)          (2,477,886)           (2,247,483)
Exchanged into associated Funds:
   Class A ...........................................   (1,618,861)         (972,823)         (10,932,716)           (6,587,848)
   Class B ...........................................     (280,488)               --           (1,910,778)                   --
   Class D ...........................................   (1,050,159)         (491,240)          (7,074,255)           (3,360,753)
                                                          ---------         ---------           ----------            ----------
Total ................................................   (4,698,420)       (3,034,051)         (31,680,389)          (20,571,780)
                                                          ---------         ---------           ----------            ----------
Increase (Decrease) in Net Assets from
Transactions in Shares of Beneficial Interest ........      501,422          (478,066)           3,485,067            (3,272,664)
                                                          =========         ==========          ----------            ----------
Increase (Decrease) in Net Assets ...................................................            4,822,881            (7,070,180)
NET ASSETS:
Beginning of year ...................................................................           56,172,008            63,242,188
                                                                                               -----------           -----------
End of Year .........................................................................          $60,994,889           $56,172,008
                                                                                               ===========           ===========

</TABLE>
- -------------
* The Fund began offering Class B shares on January 1, 1997.
See Notes to Financial Statements.

                                                                           9

<PAGE>

- ------------------------------------------------------------------------------
Notes to Financial Statements

1. Multiple Classes of Shares -- Seligman U.S. Government Securities Series
(the "Fund"), a series of Seligman High Income Fund Series, offers three classes
of shares. All shares existing prior to September 21, 1993, the commencement of
Class D shares, were classified as Class A shares. The Fund began offering Class
B shares on January 1, 1997. Class A shares are sold with an initial sales
charge of up to 4.75% and a continuing service fee of up to 0.25% on an annual
basis. Class A shares purchased in an amount of $1,000,000 or more are sold
without an initial sales charge but are subject to a contingent deferred sales
load ("CDSL") of 1% on redemptions within 18 months of purchase. Class B shares
are sold without an initial sales charge but are subject to a distribution fee
of 0.75%, a service fee of up to 0.25% on an annual basis, and a CDSL, if
applicable, of 5% on redemptions in the first year of purchase, declining to 1%
in the sixth year and 0% thereafter. Class B shares will automatically convert
to Class A shares on the last day of the month that precedes the eighth
anniversary of their date of purchase. Class D shares are sold without an
initial sales charge but are subject to a distribution fee of up to 0.75% and a
service fee of up to 0.25% on an annual basis, and a CDSL, if applicable, of 1%
imposed on certain redemptions made within one year of purchase. The three
classes of shares represent interests in the same portfolio of investments, have
the same rights and are generally identical in all respects except that each
class bears its separate distribution and certain other class expenses, and has
exclusive voting rights with respect to any matter on which a separate vote of
any class is required.

2. Significant Accounting Policies -- The financial statements have been
prepared in conformity with generally accepted accounting principles which
require management to make certain estimates and assumptions at the date of the
financial statements. The following summarizes the significant accounting
policies of the Fund:

a.  Security Valuation -- Investments in US Government and Government agency
    securities are valued at current market values or, in their absence, at fair
    values determined in accordance with procedures approved by the Trustees.
    Securities traded on national exchanges are valued at last sales prices or,
    in their absence and in the case of over-the-counter securities, at the mean
    of bid and asked prices. Short-term holdings maturing in 60 days or less are
    valued at amortized cost.

b.  Federal Taxes -- There is no provision for federal income tax. The Fund has
    elected to be taxed as a regulated investment company and intends to 
    distribute substantially all taxable net income and net gain realized.

c.  Security Transactions and Related Investment Income -- Investment 
    transactions are recorded on trade dates. Identified cost of 
    investments sold is used for both financial statement and federal
    income tax purposes. Dividends receivable and payable are recorded on
    ex-dividend dates. Interest income is recorded on an accrual basis. The Fund
    accretes original issue discounts and market discounts on purchases of
    portfolio securities.

d.  Repurchase Agreements -- The Fund may enter into repurchase agreements with
    commerical banks and with broker/dealers deemed to be creditworthy by J. &
    W. Seligman & Co. Incorporated (the "Manager"). Securities received as
    collateral subject to repurchase agreements are deposited with the Fund's
    custodian and, pursuant to the terms of the repurchase agreement, must have
    an aggregate market value greater than or equal to the repurchase price plus
    accrued interest, at all times. Procedures have been established to monitor,
    on a daily basis, the market value of repurchase agreements' underlying
    securities to ensure the existence of the proper level of collateral.

e.  Multiple Class Allocations -- All income, expenses (other than
    class-specific expenses), and realized and unrealized gains or losses are
    allocated daily to each class of shares based upon the relative value of
    shares of each class. Class-specific expenses, which include distribution
    and service fees and any other items that are specifically attributable to a
    particular class, are charged directly to such class. For the year ended
    December 31, 1997, distribution and service fees were the only
    class-specific expenses.

10

<PAGE>

- ------------------------------------------------------------------------------
Notes to Financial Statements

f.  Distributions to Shareholders -- Dividends are declared daily and paid
    monthly. Other distributions paid by the Fund are recorded on the
    ex-dividend date. The treatment for financial statement purposes of
    distributions made to shareholders during the year from net investment
    income or net realized gains may differ from their ultimate treatment for
    federal income tax purposes. These differences are caused primarily by
    differences in the timing of the recognition of certain components of
    income, expense, or realized capital gain for federal income tax purposes.
    Where such differences are permanent in nature, they are reclassified
    in the components of net assets based on their ultimate characterization
    for federal income tax purposes. Any such reclassification will have no
    effect on net assets, results of operations, or net asset value per share of
    the Fund.

3. Purchases and Sales of Securities -- Purchases and sales of US Government
obligations, excluding short-term investments, for the year ended December 31,
1997, amounted to $99,697,220 and $95,957,706, respectively.

    At December 31, 1997, the cost of investments for federal income tax
purposes was substantially the same as the cost for financial reporting
purposes, and the tax basis gross unrealized appreciation of portfolio
securities amounted to $2,263,552.

4. Management Fee, Administrative Services, and Other Transactions -- The 
Manager manages the affairs of the Fund and provides the necessary personnel 
and facilities. Compensation of all officers of the Fund, all trustees of 
the Fund who are employees or consultants of the Manager, and all personnel 
of the Fund and the Manager is paid by the Manager. The Manager receives a 
fee, calculated daily and payable monthly, equal to 0.50% per annum of 
the Fund's average daily net assets.

    Seligman Financial Services, Inc. (the "Distributor"), agent for the
distribution of the Fund's shares, and an affiliate of the Manager, received
concessions of $4,683 from sales of Class A shares after commissions of 
$36,460 were paid to dealers.

    The Fund has an Administration, Shareholder Services and Distribution
Plan (the "Plan") with respect to distribution of its shares. Under the Plan,
with respect to Class A shares, service organizations can enter into agreements
with the Distributor and receive a continuing fee of up to 0.25% on an annual
basis, payable quarterly, of the average daily net assets of the Class A shares
attributable to the particular service organizations for providing personal
services and/or the maintenance of shareholder accounts. The Distributor charges
such fees to the Fund pursuant to the Plan. For the year ended December 31,
1997, fees incurred aggregated $97,552, or 0.22% per annum of the average daily
net assets of Class A shares.

    Under the Plan, with respect to Class B and Class D shares, service
organizations can enter into agreements with the Distributor and receive a
continuing fee for providing personal services and/or the maintenance of share
holder accounts of up to 0.25% on an annual basis of the average daily net
assets of the Class B and Class D shares for which the organizations are
responsible; and, for Class D shares only, fees for providing other distribution
assistance of up to 0.75% on an annual basis of such average daily net assets.
Such fees are paid monthly by the Fund to the Distributor pursuant to the Plan.

    With respect to Class B shares, a distribution fee of 0.75% on an annual
basis of average daily net assets is payable monthly by the Fund to the
Distributor; however, the Distributor has sold its rights to substantially all
of this fee to a third party (the "Purchaser"), which provides funding to the
Distributor to enable it to pay commissions to dealers at the time of the sale
of the related Class B shares.

    For the year ended December 31, 1997, fees incurred under the Plan,
equivalent to 1% per annum of the average daily net assets of Class B and Class
D shares, amounted to $9,412 and $90,486, respectively.

                                                                            11

<PAGE>

- ------------------------------------------------------------------------------
Notes to Financial Statements


    The Distributor is entitled to retain any CDSL imposed on redemptions of
Class D shares occurring within one year of purchase and on certain
redemptions of Class A shares occurring within 18 months of purchase. For the
year ended December 31, 1997, such charges amounted to $3,312.

    The Distributor has sold its rights to collect any CDSL imposed on
redemptions of Class B shares to the Purchaser. In connection with the sale of
its rights to collect any CDSL and the distribution fees with respect to Class B
shares described above, the Distributor receives payments from the Purchaser
based on the value of Class Bshares sold. The aggregate amount of such payments
and the Class B shares distribution fees retained by the Distributor for the
year ended December 31, 1997, amounted to $2,003.

    Seligman Services, Inc., an affiliate of the Manager, is eligible to receive
commissions from certain sales of shares of beneficial interest of the Fund, as
well as distribution and service fees pursuant to the Plan. For the year ended
December 31, 1997, Seligman Services, Inc. received commissions of $954 from the
sales of Fund shares. Seligman Services, Inc. also received distribution and
service fees of $13,630, pursuant to the Plan.

    Seligman Data Corp., which is owned by certain associated investment
companies, charged the Fund at cost $117,897 for shareholder account services.

    Certain officers and trustees of the Fund are officers or directors of the
Manager, the Distributor, Seligman Services, Inc., and/or Seligman Data Corp.

    The Fund has a compensation arrangement under which trustees who receive
fees may elect to defer receiving such fees. Interest is accrued on the deferred
balances. The annual cost of such fees and interest is included in trustees'
fees and expenses and the accumulated balance thereof at December 31, 1997,
of $42,280 is included in other liabilities. Deferred fees and the related
accrued interest are not deductible for federal income tax purposes until such
amounts are paid.

5. Loss Carryforward -- At December 31, 1997, the Fund had a net loss
carryforward for federal income tax purposes of $14,118,544, which is available
for offset against future taxable net capital gains, expiring in various amounts
through 2005. Accordingly, no capital gain distributions are expected to be paid
to shareholders until net capital gains have been realized in excess of the
available capital loss carryforwards.

12

<PAGE>

- ------------------------------------------------------------------------------
Financial Highlights

   The Fund's financial highlights are presented below. "Per share operating
performance" data is designed to allow investors to trace the operating 
performance of each Class, on a per share basis, from the beginning net asset 
value to the ending net asset value, so that investors can understand what 
effect the individual items have on their investment, assuming it was held 
throughout the period. Generally, per share amounts are derived by converting 
the actual dollar amounts incurred for each item, as disclosed in the financial 
statements, to their equivalent per share amounts, using average shares 
outstanding.

   "Total return based on net asset value" measures each Class's performance
assuming that investors purchased Fund shares at net asset value as of the
beginning of the period, invested dividends and capital gains paid at net asset
value, and then sold their shares at the net asset value on the last day of the
period. The total return computations do not reflect any sales charges investors
may incur in purchasing or selling shares of the Fund. Total returns for periods
of less than one year are not annualized.

<TABLE>
<CAPTION>
                                                                                    CLASS A
                                                        --------------------------------------------------------------
                                                                            YEAR ENDED DECEMBER 31,
                                                        --------------------------------------------------------------
                                                         1997         1996           1995         1994         1993
                                                        --------     --------      --------     --------      --------
<S>                                                     <C>          <C>           <C>          <C>           <C>
PER SHARE OPERATING PERFORMANCE:

Net Asset Value, Beginning of Year                       $6.71        $7.15         $6.47        $7.18          $7.19
                                                         -----        -----         -----        -----          -----
Net investment income ...............................      .38          .41           .46          .44            .53
Net realized and unrealized investment gain (loss)...      .17         (.44)          .68         (.71)          (.01)
                                                         -----        -----         -----        -----          -----
Increase (Decrease) from Investment
Operations...........................................      .55         (.03)         1.14         (.27)           .52
Dividends paid or declared...........................     (.38)        (.41)         (.46)        (.44)          (.53)
                                                         -----        -----         -----        -----          -----
Net Increase (Decrease) in Net Asset Value...........      .17         (.44)          .68         (.71)          (.01)
                                                         -----        -----         -----        -----          -----
Net Asset Value, End of Year ........................    $6.88        $6.71         $7.15        $6.47          $7.18
                                                         =====        =====         =====        =====          =====
TOTAL RETURN BASED ON NET
ASSET VALUE:                                              8.53%       (0.29)%       18.15%       (3.88)%         7.46%

RATIOS/SUPPLEMENTAL DATA:
Expenses to average net assets ......................     1.23%        1.14%         1.14%        1.10%          1.11%
Net investment income to average net assets .........     5.68%        6.05%         6.71%        6.49%          7.22%
Portfolio turnover ..................................   193.90%      175.25%       213.06%      445.18%        170.35%
Net Assets, End of Year (000s omitted)...............  $45,426      $46,889       $55,061      $54,714        $69,805


</TABLE>

- --------------
See footnotes on page 14.

                                                                           13

<PAGE>

- ------------------------------------------------------------------------------
Financial Highlights

<TABLE>
<CAPTION>


                                                      CLASS B                           CLASS D
                                                      --------        ------------------------------------- 
                                                       1/1/97*               YEAR ENDED DECEMBER 31,           9/21/93*  
                                                         TO           --------------------------------------      TO
                                                      12/31/97        1997      1996        1995       1994    12/31/93
                                                        -----         -----     -----       -----     -----    --------
<S>                                                    <C>           <C>      <C>         <C>       <C>      <C>
PER SHARE OPERATING PERFORMANCE:

Net Asset Value, Beginning of Year.................     $6.73         $6.73     $7.16       $6.48      $7.20     $7.33
                                                        -----         -----     -----       -----      -----     -----
Net investment income .............................       .33           .33       .36         .40        .37       .09
Net realized and unrealized investment gain (loss)        .16           .16      (.43)        .68       (.72)     (.13)
                                                        -----         -----     -----       -----      -----     -----
Increase (Decrease) from Investment
Operations ........................................       .49           .49      (.07)       1.08       (.35)     (.04)
Dividends paid or declared ........................      (.33)         (.33)     (.36)       (.40)      (.37)     (.09)
                                                        -----         -----     -----       -----      -----      -----
Net Increase (Decrease) in Net Asset Value ........       .16           .16      (.43)        .68       (.72)     (.13)
                                                        -----         -----     -----       -----      -----     -----
Net Asset Value, End of Year ......................     $6.89         $6.89     $6.73       $7.16      $6.48     $7.20
                                                        =====         =====     =====       =====      =====     =====
TOTAL RETURN BASED ON NET
ASSET VALUE:                                             7.32%         7.53%    (0.92)%     17.10%     (5.05)%   (0.65)%

RATIOS/SUPPLEMENTAL DATA:
Expenses to average net assets ....................      2.01%         2.01%     1.92%       2.01%      2.22%     2.09%+
Net investment income to average net assets  ......      4.90%         4.90%     5.27%       5.84%      5.40%     5.28%+
Portfolio turnover ................................    193.90%       193.90%   175.25%     213.06%    445.18%   170.35%++
Net Assets, End of Year (000s omitted) ............    $3,219       $12,350    $9,283      $8,181     $6,062    $2,317


</TABLE>
- --------------
 *  Commencement of offering of shares.
 +  Annualized.
++  For the year ended December 31, 1993.
See Notes to Financial Statements.

14

<PAGE>

- ------------------------------------------------------------------------------
Report of Independent Auditors

The Trustees and Shareholders,
Seligman U.S. Government Securities Series:

     We have  audited  the  accompanying  statement  of assets and  liabilities,
including the portfolio of investments,  of Seligman U.S. Government  Securities
Series as of December 31, 1997,  the related  statements of  operations  for the
year  then  ended  and of  changes  in net  assets  for each of the years in the
two-year period then ended, and the financial highlights for each of the periods
presented.   These  financial   statements  and  financial  highlights  are  the
responsibility  of the Fund's  management.  Our  responsibility is to express an
opinion on these  financial  statements  and financial  highlights  based on our
audits.

     We conducted  our audits in accordance  with  generally  accepted  auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether the  financial  statements  and  financial
highlights are free of material misstatement.  An audit includes examining, on a
test basis,  evidence  supporting  the amounts and  disclosures in the financial
statements.  Our  procedures  included  confirmation  of securities  owned as of
December 31, 1997, by correspondence  with the Fund's  custodian.  An audit also
includes assessing the accounting principles used and significant estimates made
by  management,   as  well  as  evaluating  the  overall   financial   statement
presentation.  We believe  that our audits  provide a  reasonable  basis for our
opinion.

     In our opinion,  such financial statements and financial highlights present
fairly,  in all  material  respects,  the  financial  position of Seligman  U.S.
Government  Securities  Series as of  December  31,  1997,  the  results  of its
operations,  the changes in its net assets, and the financial highlights for the
respective  stated  periods in conformity  with  generally  accepted  accounting
principles.

DELOITTE & TOUCHE LLP
New York, New York
January 30, 1998

                                                                            15

<PAGE>

- ------------------------------------------------------------------------------
Trustees

John R. Galvin 2
Dean, Fletcher School of Law and Diplomacy
   at Tufts University
Director, Raytheon Company
Director, USLIFE Corporation

Alice S. Ilchman 3
President, Sarah Lawrence College
Trustee, Committee for Economic Development
Chairman, The Rockefeller Foundation

Frank A. McPherson 2
Director, Kimberly-Clark Corporation
Director, Baptist Medical Center

John E. Merow
Retired Chairman and Senior Partner,
   Sullivan & Cromwell, Law Firm
Director, Commonwealth Industries, Inc.

Betsy S. Michel 2
Trustee,  Geraldine R. Dodge Foundation
Chairman of the Board of Trustees, St. George's School

William C. Morris 1
Chairman
Chairman of the Board, J. & W. Seligman & Co.
   Incorporated
Chairman, Carbo Ceramics Inc.
Director, Kerr-McGee Corporation

James C. Pitney 3
Retired Partner, Pitney, Hardin, Kipp & Szuch,
   Law Firm

James Q. Riordan 3
Director, The Brooklyn Union Gas Company
Trustee, Committee for Economic Development
Director, Dow Jones & Co., Inc.
Director, Public Broadcasting Service

Richard R. Schmaltz 1
Managing Director, J. & W. Seligman & Co. Incorporated
Trustee Emeritus, Colby College

Robert L. Shafer 3
Retired Vice President, Pfizer Inc.
Director, USLIFE Corporation

James N. Whitson 2
Executive Vice President and Director,
   Sammons Enterprises, Inc.
Director, C-SPAN
Director, CommScope, Inc.

Brian T. Zino 1
President
President, J. & W. Seligman & Co.  Incorporated
Chairman, Seligman Data Corp.

Trustee Emeritus
Fred E. Brown
Director and Consultant, J. & W. Seligman & Co. 
   Incorporated

- ----------------
Member:  1 Executive Committee
         2 Audit Committee
         3 Trustee Nominating Committee

16

<PAGE>

- ------------------------------------------------------------------------------
Executive Officers


William C. Morris
Chairman

Brian T. Zino
President

Leonard J. Lovito
Vice President

Lawrence P. Vogel
Vice President

Thomas G. Rose
Treasurer

Frank J. Nasta
Secretary



   FOR MORE INFORMATION

   Manager
   J. & W. Seligman & Co. Incorporated
   100 Park Avenue
   New York, NY 10017

   General Counsel
   Sullivan & Cromwell

   Independent Auditors
   Deloitte & Touche LLP

   General Distributor
   Seligman Financial Services, Inc.
   100 Park Avenue
   New York, NY 10017

   Shareholder Service Agent
   Seligman Data Corp.
   100 Park Avenue
   New York, NY 10017

   Important Telephone Numbers
   (800) 221-2450   Shareholder Services
   (800) 445-1777   Retirement Plan Services
   (212) 682-7600   Outside the Continental United States
   (800) 622-4597   24-Hour Automated Telephone Access Service

                                                                           17

<PAGE>

- ------------------------------------------------------------------------------
Glossary of Financial Terms

     CAPITAL  GAIN  DISTRIBUTION  -- A payment to mutual  fund  shareholders  of
profits  realized on the sale of  securities  in the fund's  portfolio.  For tax
purposes,  these profits may be taxed at different  rates,  primarily  depending
upon the length of time the securities were owned by the fund.

     CAPITAL  APPRECIATION/DEPRECIATION -- An increase or decrease in the market
value of a mutual  fund's  portfolio  securities,  which is reflected in the net
asset  value  of the  fund's  shares.  Capital  appreciation/depreciation  of an
individual security is in relation to the original purchase price.

     COMPOUNDING  -- The increase in the value of an investment as  shareholders
receive  earnings on their  investment's  earnings.  For  example,  if $1,000 is
invested at a fixed rate of 7% a year,  the initial  investment  is worth $1,070
after one year.  If the return is  compounded,  second year earnings will not be
based on the original $1,000, but on the $1,070, which includes the first year's
earnings.

     CONTINGENT  DEFERRED  SALES LOAD (CDSL) -- Depending on the class of shares
owned, a fee charged by a mutual fund when shares are sold back to the fund (the
CDSL expires after a fixed time period).

     DIVIDEND -- A payment by a mutual fund, usually derived from the fund's net
investment income (dividends and interest less expenses).

     DIVIDEND YIELD -- A measurement of a fund's dividend as a percentage of the
maximum offering price.

     EXPENSE RATIO -- The cost of doing business for a mutual fund, expressed as
a percent of the fund's net assets.

     INVESTMENT  OBJECTIVE  -- The  shared  investment  goal  of a fund  and its
shareholders.

     MANAGEMENT  FEE -- The  amount  paid by a  mutual  fund  to its  investment
advisor(s).

     MULTIPLE CLASSES OF SHARES -- Although an individual mutual fund invests in
only one  portfolio  of  securities,  it may offer  investors  several  purchase
options which are "classes" of shares.  Multiple classes permit  shareholders to
choose the fee structure that best meets their needs and goals. Generally,  each
class will differ in terms of how and when sales  charges  and certain  fees are
assessed.

     NATIONAL   ASSOCIATION   OF   SECURITIES   DEALERS,   INC.   (NASD)   --  A
self-regulatory body with authority over firms that distribute mutual funds.

     NET ASSET  VALUE  (NAV) PER SHARE -- The  market  worth of one fund  share,
obtained by adding a mutual  fund's  total  assets  (securities,  cash,  and any
accrued  earnings),  subtracting  liabilities,  and dividing the  resulting  net
assets by the number of shares outstanding.

     OFFERING  PRICE  (OP) -- The  price at which a mutual  fund's  share can be
purchased.  The offering price is the current net asset value per share plus any
sales charge.

     PORTFOLIO  TURNOVER -- A measure of the trading activity in a mutual fund's
investment portfolio that reflects how often securities are bought and sold.

     PROSPECTUS  --  The  legal  document   describing  a  mutual  fund  to  all
prospective shareholders. It contains information required by the Securities and
Exchange  Commission,  such as the fund's  investment  objective  and  policies,
services, investment restrictions, officers and directors, how shares are bought
and redeemed, fund fees and other charges, and the fund's financial statements.

     SEC YIELD -- SEC Yield  refers to the net income  earned by a fund during a
recent 30-day period.  This income is annualized and then divided by the maximum
offering  price per share on the last day of the  30-day  period.  The SEC Yield
formula reflects semiannual compounding.

     SECURITIES  AND EXCHANGE  COMMISSION -- The primary US federal  agency that
regulates the registration and distribution of mutual fund shares.

     STATEMENT OF ADDITIONAL  INFORMATION  -- Document that contains  updated or
more detailed information about a mutual fund and supplements the prospectus. It
is available at no charge upon request.

     TOTAL RETURN -- A measure of fund performance  encompassing all elements of
return.  Reflects  the change in share price over a given period and assumes all
distributions  are taken in  additional  fund shares.  The Average  Annual Total
Return  represents the average annual  compounded rate of return for the periods
presented.

     YIELD ON SECURITIES  -- For bonds,  the current yield is the coupon rate of
interest,  divided by the purchase price.  For stocks,  the yield is measured by
dividing dividends paid by the maximum offering price of the stock.
- --------------
Adapted from the Investment Company Institute's 1997 Mutual Fund Fact Book.

18

<PAGE>
                        SELIGMAN FINANCIAL SERVICES, INC.

                                 an affiliate of

                                     [LOGO]

                             J. & W. SELIGMAN & CO.

                                  INCORPORATED

                                ESTABLISHED 1864

                       100 Park Avenue, New York, NY 10017

     This report is intended only for the  information of  shareholders or those
who have received the offering prospectus covering shares of beneficial interest
of Seligman U.S. Government  Securities Series, which contains information about
the sales charges,  management fee, and other costs.  Please read the prospectus
carefully before investing or sending money.

                                                                   TXUSG2 12/97



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