If m1, then sum of the nth power of n even number

Question

If m>1, then sum of the nth power of n even number is

Arun Kumar · Accepted Answer

Hello Student,You can do this by Faulhaber's formula.2^n\sum_{1}^{n} (r)^n \\Now \\(n+1)^{k+1}-1=\sum_{1}^{n}(m+1)^{k+1}-(m)^{k+1} \\=_{p}^{k+1}\textrm{C}\sum_{1}^{n}r^p src=http://latex.codecogs.com/gif.latex?%5C%5C%5Csum_%7B1%7D%5E%7Bn%7D%20%282r%29%5En%3D%3F%3F%3F%20%5C%5C%3D%3E2%5En%5Csum_%7B1%7D%5E%7Bn%7D%20%28r%29%5En%20%5C%5CNow%20%5C%5C%28n&plus;1%29%5E%7Bk&plus;1%7D-1%3D%5Csum_%7B1%7D%5E%7Bn%7D%28m&plus;1%29%5E%7Bk&plus;1%7D-%28m%29%5E%7Bk&plus;1%7D%20%5C%5C%3D_%7Bp%7D%5E%7Bk&plus;1%7D%5Ctextrm%7BC%7D%5Csum_%7B1%7D%5E%7Bn%7Dr%5Ep>Thanks & RegardsArun KumarBtech, IIT DelhiAskiitians Faculty

Magical Mathematics[Interesting Approach]> If m>1, then sum of the nth power of n ev...

If m>1, then sum of the nth power of n even number is

Leo Pixie , 11 Years ago

Arun Kumar

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Magical Mathematics[Interesting Approach]> If m>1, then sum of the nth power of n ev...

If m>1, then sum of the nth power of n even number is

Leo Pixie , 11 Years ago

Arun Kumar

LIVE ONLINE CLASSES

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