document.write( "Question 844022: Write an arithmetic series with seven terms such that the sum of the series is 64 \n" ); document.write( "
Algebra.Com's Answer #508508 by fcabanski(1391)\"\" \"About 
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The question is mis worded. A sequence is a list of numbers that follows some rule. A series is the sum of a sequence.


\n" ); document.write( "An arithmetic sequence has the same number added to each previous number to arrive at the next number. The sum of such a sequence is the sum of the terms.


\n" ); document.write( "Pick some number to add to each term. The easiest is 1.


\n" ); document.write( "n, n+1, n+2, n+3, n+4, n+5, n+6 is an arithmetic series in which 1 is added to each number to arrive at the next number in the sequence.


\n" ); document.write( "The sum is n + n+1 + n+2 + n+3 + n+4 + n+5 + n+6 and it must = 64.


\n" ); document.write( "n + n+1 + n+2 + n+3 + n+4 + n+5 + n+6 = 64


\n" ); document.write( "7n + 21=64


\n" ); document.write( "7n = 43
\n" ); document.write( "n = 43/7


\n" ); document.write( "The sequence is 43/7, 50/7, 57/7, 64/7, 71/7, 78/7, 85/7 \n" ); document.write( "

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