Provide an appropriate response.
-The sum of an infinite geometric series exists if:

Question

Provide an appropriate response.
-The sum of an infinite geometric series exists if: 
A) $| r | < 1$
B) $| r | \geq 1$
C) $| \mathbf { r } | \leq 1$
D) $| r | > 1$

Quizplus · Accepted Answer

The sum of an infinite geometric series exists and is finite if the absolute value of the common ratio $r$ is less than 1, i.e., $| r | < 1$. This condition ensures that the terms of the series approach zero as the number of terms increases, allowing for a finite sum.

Provide an Appropriate Response ∣r∣<1| r | < 1∣r∣<1 B) ∣r∣≥1| r | \geq 1∣r∣≥1

Provide an Appropriate Response $| r | < 1$ B) $| r | \geq 1$