Hello

Prove that the sum of k^2 from k=1 to n is equal to:

(n^3)/3 + (n^2)/2 + n/6

The book provided a hint: k^3 -(k -1)^3 = 3k^2 -3k + 1.

But I don't know how to use it.

Thanks in advance

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- Feb 28th 2008, 12:44 AMHallsFBSummation formula
Hello

Prove that the sum of k^2 from k=1 to n is equal to:

(n^3)/3 + (n^2)/2 + n/6

The book provided a hint: k^3 -(k -1)^3 = 3k^2 -3k + 1.

But I don't know how to use it.

Thanks in advance - Feb 28th 2008, 01:09 AMheathrowjohnny

Write this equation down for and add them.

Then and