document.write( "Question 963769: If the sum of the arithmetic sequence is 17 the second term is 3 ,the d is 14 what is the first term \n" ); document.write( "
Algebra.Com's Answer #589668 by Edwin McCravy(20056)\"\" \"About 
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>>the sum of the arithmetic sequence is 17
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\n" ); document.write( ">>the d is 14
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document.write( "\"S%5Bn%5D=expr%28n%2F2%29%282a%5B1%5D%2B%28n-1%29%5E%22%22d%29\"\r\n" );
document.write( "\"17=expr%28n%2F2%29%282a%5B1%5D%2B%28n-1%29%5E%22%22%2814%29%29\"\r\n" );
document.write( "Multiply both sides by 2:\r\n" );
document.write( "\"34=n%282a%5B1%5D%2B14%28n-1%29%5E%22%22%29\"\r\n" );
document.write( "\"34=n%282a%5B1%5D%2B14n-14%29\"\r\n" );
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\n" ); document.write( ">>the second term is 3,
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document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\"\r\n" );
document.write( "\"3=a%5B1%5D%2B%282-1%29%2814%29\"\r\n" );
document.write( "\"3=a%5B1%5D%2B%281%29%2814%29\"\r\n" );
document.write( "\"3=a%5B1%5D%2B14\"\r\n" );
document.write( "\"-11=a%5B1%5D\"\r\n" );
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document.write( "That's the answer, but the problem is botched because\r\n" );
document.write( "when you substitute a1 = -11 into\r\n" );
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document.write( "\"34=n%282a%5B1%5D%2B14n-14%29\"\r\n" );
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document.write( "and solve for n you get:\r\n" );
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document.write( "\"n+=+%289+%2B-+10sqrt%282%29%29%2F7\"\r\n" );
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document.write( "So you might tell your teacher that the problem is botched.\r\n" );
document.write( "There is no such arithmetic sequence because n can only\r\n" );
document.write( "be a positive integer.\r\n" );
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document.write( "Edwin
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