Question

Determine whether the sequences in Exercises 63–74 are monotonic or not. Also determine whether the given sequence is bounded or unbounded.

$\left\{1,-1,1,-1,1,...\right\}$

Short answer

The given sequence is not a monotonic sequence but it is a bounded sequence.

Step-by-step solution

Step 1. Given Information.

The given sequence is$\left\{1,-1,1,-1,1,...\right\}.$

Step 2. Determine whether the sequences are monotonic or not.

As we can depict from the given sequence that it is neither increasing nor decreasing. Thus, the sequence is not a monotonic sequence.

Step 3. Determine whether the given sequence is bounded or unbounded.   

The terms of the given sequence are either 1or-1,thus the sequence is bounded by1 and -1.