Find the sum, if it exists, of the terms of the infinite geometric sequence.
-$\sum_{\mathrm{i}=1}^{\infty} 4(3)^{\mathrm{i}}$
A) 1886
B) 3072
C) 3441
D) Does not exist

Question

Quizplus · Accepted Answer

The sum of an infinite geometric series exists only if the absolute value of the common ratio is less than 1. In this series, the common ratio is 3, which is greater than 1, so the sum does not exist.

Find the Sum, If It Exists, of the Terms of the Infinite