Determine whether the infinite geometric series converges. If the series converges, determine the limit.
-10 + 50 + 250 + 1250 + ...
A) Converges; 1560
B) Diverges
C) Converges; 310
D) Converges; 7810

Question

Quizplus · Accepted Answer

The series is geometric with a common ratio of 5 (since each term is 5 times the previous term). A geometric series converges only if the absolute value of the common ratio is less than 1. Since 5 > 1, the series diverges.

Determine Whether the Infinite Geometric Series Converges