Wednesday, 4 December 2013

summation - A Peculiar Sum Of Squares

I have been trying to solve a question that arose in my mind a couple of days ago.



What is the sum of:




$1+4+9+16+25+\cdots +n^2$?




It is the sum of squares of each numbers starting from $1$ to $n$.




Can there be any formula for this sum?

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