What is the sum from n=1 to infinity of n^2(5/6)^n ?

The sum from n=1 to infinity of n^2(5/6)^n is converges

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sum from n=1 to infinity of n^2(5/6)^n

n = 1 \sum \infty n^{2} (\frac{5}{6})^{n}

converges

Solution steps

n = 1 \sum \infty n^{2} (\frac{5}{6})^{n}

Apply Series Ratio Test:

converges

= converges

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\int 2 θ sec^{2} (θ) d θ

\frac{d}{d x} (3 x - π)

\frac{d}{d x} (\frac{x ^{4}}{16})

What is the sum from n=1 to infinity of n^2(5/6)^n ?
The sum from n=1 to infinity of n^2(5/6)^n is converges