# Chapter 11 - Infinite Sequences and Series - Review - True-False Quiz: 16

FALSE

#### Work Step by Step

Since ${a_{n}}$ is decreasing, so it is monotonic and ${a_{n}}\gt 0$ fo all n, so it is bounded below. The bounded monotonic sequence is convergent. Hence, the statement is false.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.