What is the sum from n=3 to infinity of (3^n)/(10^n) ?

The sum from n=3 to infinity of (3^n)/(10^n) is converges

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sum from n=3 to infinity of (3^n)/(10^n)

n = 3 \sum \infty \frac{3 ^{n}}{1 0 ^{n}}

converges

Solution steps

n = 3 \sum \infty \frac{3 ^{n}}{1 0 ^{n}}

Apply Series Ratio Test:

converges

= converges

\frac{d y}{d x} = 9 x 3 y + 7

(2 x y^{2} + 3 x^{2}) d x + 2 x^{2} y d y = 0

\frac{\partial}{\partial x} (\frac{1}{ln ( \frac{2}{x} )})

f (x) = 3 x^{2} - 1

f (x) = 12 x, (4, 24)

What is the sum from n=3 to infinity of (3^n)/(10^n) ?
The sum from n=3 to infinity of (3^n)/(10^n) is converges