document.write( "Question 561862: The sum of 40 consecutive integers is 100 what is the largest integer
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Algebra.Com's Answer #364400 by Edwin McCravy(20056)\"\" \"About 
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The sum of 40 consecutive integers is 100 what is the largest integer
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document.write( "The largest integer is the 40th term, or a40\r\n" );
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document.write( "Consecutive integers form an arithmetic sequence with a common difference of 1.\r\n" );
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document.write( "This is an aritmetic series with n=40 terms and S40 = 100\r\n" );
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document.write( "The formulas we will use are:\r\n" );
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document.write( "Sn = \"n%2F2\"[2a1 + (n-1)d] and an = a1 + (n-1)d\r\n" );
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document.write( "where n = 40, Sn = S40 = 100, d=1\r\n" );
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document.write( "S40 = \"40%2F2\"[2a1 + (40-1)·1]\r\n" );
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document.write( "100 = 20[2a1 + 39·1]\r\n" );
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document.write( "100 = 20[2a1 + 39]\r\n" );
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document.write( "Divide both sides by 20\r\n" );
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document.write( "5 = 2a1 + 39\r\n" );
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document.write( "-34 = 2a1\r\n" );
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document.write( "-17 = a1\r\n" );
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document.write( "The largest integer is the 40th term a40\r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "a40 = -17 + (40-1)·1\r\n" );
document.write( "a40 = -17 + 39·1\r\n" );
document.write( "a40 = -17 + 39\r\n" );
document.write( "a40 = 22\r\n" );
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document.write( "The largest term is 22.\r\n" );
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document.write( "-17-16-15-14-13-12-11-10-9-8-7-6-5-4-3-2-1+0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22 = 100\r\n" );
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document.write( "Edwin
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