What is the sum from n=1 to infinity of 7/(n^6) ?

The sum from n=1 to infinity of 7/(n^6) is converges

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sum from n=1 to infinity of 7/(n^6)

n = 1 \sum \infty \frac{7}{n ^{6}}

converges

Solution steps

n = 1 \sum \infty \frac{7}{n ^{6}}

Apply the constant multiplication rule:

\sum c \cdot a_{n} = c \cdot \sum a_{n}

= 7 \cdot n = 1 \sum \infty \frac{1}{n ^{6}}

Apply p-Series Test:

converges

= 7 converges

= converges

y = \frac{x - 1}{x + 1}

x \to - 3 lim (g (x))

- \frac{40 x}{9 - 5 x ^{2}}

\frac{d}{d x} (sin (x) ln (8 x))

\frac{d}{d x} (x^{2} + y z)

What is the sum from n=1 to infinity of 7/(n^6) ?
The sum from n=1 to infinity of 7/(n^6) is converges