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

Question

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

Quizplus · Accepted Answer

The series is not a geometric series since the common ratio is not a constant multiple of the previous term. It is also not an alternating series since the terms do not alternate in sign. Applying the nth term test for divergence, the limit of the nth term as n approaches infinity equals 1, which is not equal to zero. Therefore, the series diverges.

Determine Whether or Not the Following Series Converges