Prove

$\displaystyle \sum \limits_{n=1}^{m}\frac{1}{n(n+k)}=\frac{m}{k}\sum \limits_{n=1}^{k}\frac{1}{n(n+m)}$

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- Sep 13th 2012, 05:51 AMDeMathProve equality of sums
Prove

$\displaystyle \sum \limits_{n=1}^{m}\frac{1}{n(n+k)}=\frac{m}{k}\sum \limits_{n=1}^{k}\frac{1}{n(n+m)}$ - Sep 13th 2012, 06:00 AMProve ItRe: Prove equality sums
- Sep 13th 2012, 06:37 AMDeMathRe: Prove equality sums
- Sep 13th 2012, 07:05 AMProve ItRe: Prove equality sums
- Sep 13th 2012, 07:39 AMDeMathRe: Prove equality sums
- Sep 13th 2012, 09:50 AMProve ItRe: Prove equality sums