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Now that's what i call a series!

Calculus Level 4

If $\sum _{ k=0 }^{ \infty }{ \frac { { k }^{ 2 } }{ { 4 }^{ k } } }=\frac m n$

where $m,n$ are positive, co-prime integers. Find $m+n$

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by Aditya Tiwari

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