What is the sum from k=0 to infinity of (k/(k+15))^k ?

The sum from k=0 to infinity of (k/(k+15))^k is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sum from k=0 to infinity of (k/(k+15))^k

k = 0 \sum \infty (\frac{k}{k + 15})^{k}

diverges

Solution steps

k = 1 \sum \infty (\frac{k}{k + 15})^{k}

Apply Series Divergence Test:

diverges

= diverges

k = 1 \sum \infty \frac{1}{k ^{6}}

k = 0 \sum \infty (0.8)^{k}

n = 1 \sum \infty \frac{5}{1 + n ^{2}}

x = 0 \sum \infty \frac{1}{1 - x}

n = 1 \sum \infty 4^{n - 1}

What is the sum from k=0 to infinity of (k/(k+15))^k ?
The sum from k=0 to infinity of (k/(k+15))^k is diverges