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

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

Grade:9

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago
Hello Student,

You can do this by Faulhaber's formula.

\\\sum_{1}^{n} (2r)^n=??? \\=>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
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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