What is the sum from n=0 to infinity of 1/(5^n) ?

The sum from n=0 to infinity of 1/(5^n) is 5/4

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 1/(5^n)

n = 0 \sum \infty \frac{1}{5 ^{n}}

\frac{5}{4}

Solution steps

n = 0 \sum \infty \frac{1}{5 ^{n}}

Apply Series Geometric Test:

\frac{5}{4}

= \frac{5}{4}

x y^{^{'}} + 6 y = 3 x + 1

\frac{d}{d x} (1 - x^{6})

\int cos (x + 1) d x

\int_{- \infty}^{0} \frac{1}{7 - 6 x} d x

arctan (2 y)

What is the sum from n=0 to infinity of 1/(5^n) ?
The sum from n=0 to infinity of 1/(5^n) is 5/4