What is the sum from n=0 to infinity of (3/8)^{n/2} ?

The sum from n=0 to infinity of (3/8)^{n/2} is converges

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sum from n=0 to infinity of (3/8)^{n/2}

n = 0 \sum \infty (\frac{3}{8})^{\frac{n}{2}}

converges

Solution steps

n = 0 \sum \infty (\frac{3}{8})^{\frac{n}{2}}

Apply Series Ratio Test:

converges

= converges

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

\frac{d y}{d x} = \frac{x}{y - 2}

1 0^{- 3} y^{^{'}} + 10 y = 220 cos (50 t)

\int_{0}^{4} 2 π x (\frac{1}{x + 3}) d x

What is the sum from n=0 to infinity of (3/8)^{n/2} ?
The sum from n=0 to infinity of (3/8)^{n/2} is converges