Provide an appropriate response. -The sum of an infinite geometric series exists if: A) $| r | 1$ B) $| r | \geq 1$ C) $| r |

Question

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

Quizplus · Accepted Answer

The sum of an infinite geometric series exists 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, allowing the series to converge to 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) $| r | \geq 1$