Tuesday 22 August 2017

algebra precalculus - Summation of natural number set with power of $m$




Who knows about the summation of this series:
$$\sum\limits_{i=1}^{n}i^m $$ where $m$ is constant and $m\in \mathbb{N}$?



thanks



Answer



Look up Faulhaber's formula. See for example http://en.wikipedia.org/wiki/Faulhaber%27s_formula.


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