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

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

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

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

converges

Solution steps

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

Apply Series Integral Test:

converges

= converges

\int - 0.4 x^{2} + 1000 d x

\frac{\partial}{\partial x} (ln (\frac{y ^{2}}{x}))

(x - 4)^{3} + 3 x (x - 4)^{2}

x \to - \infty lim (x^{6})

\frac{\partial}{\partial x} (- 4 cos (3 x))

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