?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Easy

An Infinite Rational Sum

APCALC-JZUF1S

Find the sum of the given series:

$$\displaystyle\sum_{n=0}^{\infty }\cfrac{5^{n}+4^{n}}{6^{n}}$$

A

The sum does not exist (the series diverges).

B

$9$

C

$7$

D

$\cfrac{9}{4}$