/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 65 Determine whether the sequences ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 65 (page 593)

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

ak=-1kk

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given Information.

The given sequence isak=-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 of k.

It is givenak=-1kk.

So, let's find the terms,

-1,12,-13,14,-15,....

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 apparently say that the sequence is a bounded sequence.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Whenever a certain ball is dropped, it always rebounds to a height p% (0 < p < 100) of its original position. What is the total distance the ball travels before coming to rest when it is dropped from a height of h meters?

Use either the divergence test or the integral test to determine whether the series in Exercises 32鈥�43 converge or diverge. Explain why the series meets the hypotheses of the test you select.

36.鈭�k=1鈭�kk2+3

What is meant by the remainder Rn of a series 鈭�k=1鈭�ak

Determine whether the series 鈭�k=0鈭�-3k+14k-2converges or diverges. Give the sum of the convergent series.

Consider the series

Fill in the blanks and select the correct word:

Iflimk鈫�鈭�akbk=鈭�and鈭�k=1鈭�_____divergesthen鈭�k=1鈭�_____(converges/diverges).
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.