perplexus.info :: Just Math : Sum of Fourth Powers

Sum of Fourth Powers (Posted on 2008-12-28)

If S(n,r)=1^r+2^r+... +n^r,
and assuming that you know S(n,1), S(n,2) and S(n,3),
derive the formula for S(n,4) in terms of n.

See The Solution Submitted by Praneeth

Rating: 4.0000 (1 votes)

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Puzzle Answer

Comment 2 of 2 |

S(n,4) = n(n+1)(2n+1)(3n^2-3n+1)/30

Posted by K Sengupta on 2024-02-07 09:17:46

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