What is the sum from n=1 to infinity of (2n+1)/(7^n) ?

The sum from n=1 to infinity of (2n+1)/(7^n) is converges

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sum from n=1 to infinity of (2n+1)/(7^n)

n = 1 \sum \infty \frac{2 n + 1}{7 ^{n}}

converges

Solution steps

n = 1 \sum \infty \frac{2 n + 1}{7 ^{n}}

Apply Series Ratio Test:

converges

= converges

\int_{- 1}^{1} tan (x) d x

x \to 1 - lim (- x^{2} + 5 x + a)

\int_{- π}^{π} sin^{2} (x) d x

(3, 5), (1, - 7)

x \to + 1 lim (2 x - 1)

What is the sum from n=1 to infinity of (2n+1)/(7^n) ?
The sum from n=1 to infinity of (2n+1)/(7^n) is converges