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Chapter 7: Q. 73 (page 593)

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

-1kk

Short Answer

Expert verified

The given sequence is not monotonic and unbounded.

Step by step solution

01

Step 1. Given Information. 

The given sequence is-1kk.

02

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

To determine whether the sequences are monotonic or not, we will find the terms of the sequence by putting the values ofk.

It is given-1kk.

So, let's find the terms,

-1,2,-3,4,-5,...

Since the sequence is neither increasing nor decreasing. Thus, the sequence is not monotonic.

03

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

We can depict that as the value of kincreases, akdecreases as well as increases.

Thus, the sequence is unbounded.

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