Prove by using induction on k that the sum of the first n numbers all to the power of an integer k can be expressed as n to the power k+1 all over k+1, plus a polynomial in n with degree of k

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- Sep 2nd 2009, 07:01 AMPaul616Induction proof involving sums of consecutive powers
Prove by using induction on k that the sum of the first n numbers all to the power of an integer k can be expressed as n to the power k+1 all over k+1, plus a polynomial in n with degree of k