What is the sum from n=0 to infinity of 8(1/5)^n ?

The sum from n=0 to infinity of 8(1/5)^n is 10

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 8(1/5)^n

n = 0 \sum \infty 8 (\frac{1}{5})^{n}

10

Solution steps

n = 0 \sum \infty 8 (\frac{1}{5})^{n}

Apply the constant multiplication rule:

\sum c \cdot a_{n} = c \cdot \sum a_{n}

= 8 \cdot n = 0 \sum \infty (\frac{1}{5})^{n}

Apply Series Geometric Test:

\frac{5}{4}

= 8 \cdot \frac{5}{4}

Simplify

8 \cdot \frac{5}{4} : 10

= 10

f (x) = - sin (- 8 x - 3) + 5

\int_{0}^{1} 6 x 5^{x} d x

x \to a lim (1)

2 x^{3} (2.16)

\frac{d}{d x} (120)

What is the sum from n=0 to infinity of 8(1/5)^n ?
The sum from n=0 to infinity of 8(1/5)^n is 10