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

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

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

n = 1 \sum \infty (2 n + 1)^{- 5}

converges

Solution steps

n = 1 \sum \infty (2 n + 1)^{- 5}

Apply Series Integral Test:

converges

= converges

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