document.write( "Question 1181277: The first term of an arithmetic sequence is 9689 and the 100th term is 8996. \r
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Algebra.Com's Answer #811154 by ikleyn(52818) $\"\"$ $\"About$

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\n" ); document.write( "The first term of an arithmetic sequence is 9689 and the 100th term is 8996.
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\n" ); document.write( "b) Find the 110th term.
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document.write( "The distance between the first term and the 100-th term is\r\n" );
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document.write( "    9689 - 8996 = 693,\r\n" );
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document.write( "and there are 99 gaps of equal length between these points on the number line.\r\n" );
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document.write( "So, each gap is   = 7 units.\r\n" );
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document.write( "Thus the common difference of the AP is -7  (the progression decreases).\r\n" );
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document.write( "Now the general term  is    =  = 9689 + (n-1)*(-7) = 9689 -7n + 7 = 9696 - 7n.    ANSWER\r\n" );
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document.write( "The 110-th term is  9696 - 110*7 = 8926.          ANSWER\r\n" );
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