Determine whether or not the following series converges.
A) Diverges
B) Converges
C) Cannot Determine

Name: Determine whether or not the following series converges. A) Diverges B) Converges C) Cannot Determine
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Question

Determine whether or not the following series converges. 
A) Diverges 
B) Converges 
C) Cannot Determine

Quizplus · Accepted Answer

The series is a geometric series with first term $4$ and common ratio $\frac{4}{5}$. Using the formula for the sum of an infinite geometric series, we have: 
$$\frac{4}{1-\frac{4}{5}} = \frac{4}{\frac{1}{5}} = 20$$
Since the sum converges to a finite value, the series converges.

Determine Whether or Not the Following Series Converges