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June 9th, 2011, 12:47 PM   #1
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induction

hi

Can someone please help me

I need to find a formula for the sum of the first n square numbers and then prove it by induction. This problem is actually up on google but im hoping someone can give me a better explaination and better working so i can actually understand

Thanks
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June 9th, 2011, 02:12 PM   #2
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Re: induction

The derivation from scratch is a little tricky. You can start by assuming it is a cubic polynomial in n. Therefore is has 4 coefficients. Calculate the value by hand for n = 1,2,3,4 and use this to determine these coefficients. Once you have the formula, use induction to prove it holds for all n.
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June 9th, 2011, 03:32 PM   #3
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Re: induction

You could solve:
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June 10th, 2011, 06:34 PM   #4
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Perhaps the Faulhaber's formula should be sufficient where p = 2.
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