What is the sum from n=0 to infinity of (2/9)^n ?

The sum from n=0 to infinity of (2/9)^n is 9/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sum from n=0 to infinity of (2/9)^n

n = 0 \sum \infty (\frac{2}{9})^{n}

\frac{9}{7}

Solution steps

n = 0 \sum \infty (\frac{2}{9})^{n}

Apply Series Geometric Test:

\frac{9}{7}

= \frac{9}{7}

(1, 4), (- 9, - 10)

\int p^{6} ln (p) d p

\frac{1}{x ^{9}}

4 cos (x^{2}) - 8 x^{2} sin (x^{2})

\int_{0}^{4} 1 + \frac{9}{4} x d x

What is the sum from n=0 to infinity of (2/9)^n ?
The sum from n=0 to infinity of (2/9)^n is 9/7