What is the sum from n=3 to infinity of (3^n)/(11^n) ?

The sum from n=3 to infinity of (3^n)/(11^n) is converges

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sum from n=3 to infinity of (3^n)/(11^n)

n = 3 \sum \infty \frac{3 ^{n}}{1 1 ^{n}}

converges

Solution steps

n = 3 \sum \infty \frac{3 ^{n}}{1 1 ^{n}}

Apply Series Ratio Test:

converges

= converges

\int \frac{y ^{2} - 49}{y} d y

\int sin (12 x) cos (5 x) d x

\int_{- \infty}^{0} \frac{1}{5 - 4 x} d x

\frac{d}{d x} (ln (13 x) + 13)

\frac{d y}{d x} = \frac{y ^{2} + 3 x x ^{2} + y ^{2}}{x y}

What is the sum from n=3 to infinity of (3^n)/(11^n) ?
The sum from n=3 to infinity of (3^n)/(11^n) is converges