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

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

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sum from n=1 to infinity of 1/(5^{n+2)}

n = 1 \sum \infty \frac{1}{5 ^{n + 2}}

converges

Solution steps

n = 1 \sum \infty \frac{1}{5 ^{n + 2}}

Apply Series Ratio Test:

converges

= converges

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