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Chapter 7: Q. 14 (page 603)

Give examples of sequences satisfying the given conditions or explain why such an example cannot exist.

An increasing sequence that is not strictly increasing.

Short Answer

Expert verified

Examples of the sequences is 2,2,2,4,4,8,8,....

Step by step solution

01

Step 1. Given information.

Consider the given question,

An increasing sequence that is not strictly increasing.

02

Step 2. Take the sequence ak.

Consider the sequence ak=2,2,2,4,4,8,8,....

The sequence is increasing sequence but is not strictly increasing sequence as ak+1鈮�ak.

Hence, the sequence that is increasing sequence that is not strictly increasing inak=2,2,2,4,4,8,8,....

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