Telescoping(?) an infinite series – math.stackexchange.com

Telescoping(?) an infinite series – math.stackexchange.com

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Find the value of the sum $\displaystyle \sum\limits_{n=1}^{\infty} \frac{(7n+32) \cdot3^n}{n(n+2) \cdot 4^n}.$ Using partial fraction decomposition, I found the above expression is equivalent to ...

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