Hi all, I found this "identity" online on Wikipedia, and realized that it would actually come in pretty useful for me, if only I could prove that it is true. Can you guys help me on that?:(adsbygoogle = window.adsbygoogle || []).push({});

$$\sum_{k=1}^nk^m=\frac{1}{m+1}\sum_{k=0}^{m}\binom{m+1}{k}B_k\;n^{m-k+1}$$

where ##B_k## denotes the kth Bernoulli number.

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# Confirming a Summation Identity

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