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  3. let s_k(n) = 1^k + 2^k + ··· + n^k for n, k ? 1

Let S_k(n) = 1^k + 2^k + ··· + n^k for n, k ? 1....

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Advance Math

Let S_k(n) = 1^k + 2^k + ··· + n^k for n, k ? 1. Then, S_4(n) isgiven by

S_4(n)= n(n+1)(2n+1)(3n^2 +3n?1)/ 30

Prove by mathematical induction.

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