SOLUTION: (sigma i = 1 to 2014 i^2 ) / (sigma i = 1 to 2014 i ) ?

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Question 880216: (sigma i = 1 to 2014 i^2 ) / (sigma i = 1 to 2014 i ) ?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
(sigma i = 1 to 2014 i^2 ) / (sigma i = 1 to 2014 i )

First we'll do it for general n, and then substitute n = 2014

 %22%22=%22%22 %28n%28n%2B1%29%282n%2B1%29%2F6%29%2F%28n%28n%2B1%29%2F2%29 %22%22=%22%22 n%28n%2B1%29%282n%2B1%29%2F6%22%F7%22n%28n%2B1%29%2F2 %22%22=%22%22

n%28n%2B1%29%282n%2B1%29%2F6%22%D7%22 2%2F%28n%28n%2B1%29%29 %22%22=%22%22 cross%28n%28n%2B1%29%29%282n%2B1%29%2F%28cross%286%29%29%5B3%5D%22%D7%22  %22%22=%22%22 %282n%2B1%29%2F3

Substitute n = 2014 in %282n%2B1%29%2F3

%282%282014%29%2B1%29%2F3 %22%22=%22%22 1343

Edwin