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.


No comments:

Post a Comment

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...