What is the sum from n=1 to infinity of 1/((3n+5)^4) ?

The sum from n=1 to infinity of 1/((3n+5)^4) is converges

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sum from n=1 to infinity of 1/((3n+5)^4)

n = 1 \sum \infty \frac{1}{( 3 n + 5 ) ^{4}}

converges

Solution steps

n = 1 \sum \infty \frac{1}{( 3 n + 5 ) ^{4}}

Apply Series Comparison Test:

converges

= converges

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What is the sum from n=1 to infinity of 1/((3n+5)^4) ?
The sum from n=1 to infinity of 1/((3n+5)^4) is converges