#### Answer

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.

Published by
Cengage

ISBN 10:
1285740629

ISBN 13:
978-1-28574-062-1

FALSE

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