Question

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

Examples of the sequences is $\left\{2,2,2,4,4,8,8,...\right\}$.

Step-by-step solution

Step 1. Given information.

Consider the given question,

An increasing sequence that is not strictly increasing.

Step 2. Take the sequence ak.

Consider the sequence $\left\{a_k\right\}=\left\{2,2,2,4,4,8,8,...\right\}$.

The sequence is increasing sequence but is not strictly increasing sequence as $a_{k+1}\ge a_k$.

Hence, the sequence that is increasing sequence that is not strictly increasing in$\left\{a_k\right\}=\left\{2,2,2,4,4,8,8,...\right\}$.