document.write( "Question 915894: It says to evaluate(solve) the arithmetic series:\r
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document.write( "20+27+34+41..., n=16\r
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document.write( "How do you do this? Please help. Thanks! \n" );
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Algebra.Com's Answer #555859 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! The sum of an arithmetic sequence is given by the following formula, \n" ); document.write( "(n/2)*(a1 + an), which is the sum of the first n terms \n" ); document.write( "the nth term an is given by the following formula \n" ); document.write( "an = a1 + (n-1)d, where d is the common difference, therefore \n" ); document.write( "a16 = 20 + (16-1)*7 \n" ); document.write( "a16 = 20 + 105 = 125 \n" ); document.write( "now the sum is (16/2)*(20 + 125) = 1160 \n" ); document.write( " \n" ); document.write( " |