What is the sum from n=0 to infinity of e^{-(5n)/2} ?

The sum from n=0 to infinity of e^{-(5n)/2} is converges

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sum from n=0 to infinity of e^{-(5n)/2}

n = 0 \sum \infty e^{- \frac{5 n}{2}}

converges

Solution steps

n = 0 \sum \infty e^{- \frac{5 n}{2}}

Apply Series Ratio Test:

converges

= converges

\frac{\partial}{\partial x} (x^{3} e^{y} + cos (y))

\int_{1}^{e^{2}} x^{2} ln (x) d x

\frac{x + 4}{x ^{3} + x - 5}

y = 2 x, x = 5, y = \frac{2}{x}

\int \frac{x + 1}{x ^{3} + x ^{2} - 6 x} d x

What is the sum from n=0 to infinity of e^{-(5n)/2} ?
The sum from n=0 to infinity of e^{-(5n)/2} is converges