What is the sum from n=0 to infinity of (2/7)^{n/2} ?

The sum from n=0 to infinity of (2/7)^{n/2} is converges

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sum from n=0 to infinity of (2/7)^{n/2}

n = 0 \sum \infty (\frac{2}{7})^{\frac{n}{2}}

converges

Solution steps

n = 0 \sum \infty (\frac{2}{7})^{\frac{n}{2}}

Apply Series Ratio Test:

converges

= converges

y^{^{'''}} + 2 y^{^{''}} - y^{^{'}} - 2 y = 0

(1 - cos (t))^{^{'}}

\int_{0}^{2} 1 + 16 x^{2} d x

\int \frac{1}{x ^{15}} d x

x \to π lim (5 \frac{x - π}{x + π})

What is the sum from n=0 to infinity of (2/7)^{n/2} ?
The sum from n=0 to infinity of (2/7)^{n/2} is converges