SOLUTION: What is the sum of the arithmetic series {{{sum((1+5i),i=1,13)}}}?

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Question 884027: What is the sum of the arithmetic series sum%28%281%2B5i%29%2Ci=1%2C13%29?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
We use the facts that sum%28%281%29%2Ci=1%2Cmatrix%281%2C2%2C%22%22%2Cn%29%29=n and sum%28%28i%29%2Ci=1%2Cmatrix%281%2C2%2C%22%22%2Cn%29%29=n%28n%2B1%29%2F2


sum%28%281%2B5i%29%2Ci=1%2C13%29%22%22=%22%22sum%28%281%29%2Ci=1%2C13%29%2Bsum%28%285i%29%2Ci=1%2C13%29%22%22=%22%22sum%28%281%29%2Ci=1%2C13%29%2B5sum%28%28i%29%2Ci=1%2C13%29%22%22=%22%2213%2B5%2Aexpr%2813%2813%2B1%29%2F2%29%22%22=%22%22468

Edwin