BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Solutions

Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

5 5 - 6 0 Chapter 13.CR, Problem 57E, 55-60 Infinite Geometric SeriesDetermine whether the infinite geometric series is convergent or Infinite Geometric Series Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum.

5 5 ( 1.01 ) + 5 ( 1.01 ) 2 5 ( 1.01 ) 3 +

To determine

Whether the infinite geometric series 55(1.01)+5(1.01)25(1.01)3+ is convergent or divergent. Find the sum if convergent.

Explanation

Given:

The expression: 55(1.01)+5(1.01)25(1.01)3+

Approach:

Check if the absolute value of the common ratio is smaller than 1.

If convergent use the formula for sum of an infinite series.

Calculation:

The common ratio is,

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 13 Solutions

Show all chapter solutions add
Sect-13.1 P-11ESect-13.1 P-12ESect-13.1 P-13ESect-13.1 P-14ESect-13.1 P-15ESect-13.1 P-16ESect-13.1 P-17ESect-13.1 P-18ESect-13.1 P-19ESect-13.1 P-20ESect-13.1 P-21ESect-13.1 P-22ESect-13.1 P-23ESect-13.1 P-24ESect-13.1 P-25ESect-13.1 P-26ESect-13.1 P-27ESect-13.1 P-28ESect-13.1 P-29ESect-13.1 P-30ESect-13.1 P-31ESect-13.1 P-32ESect-13.1 P-33ESect-13.1 P-34ESect-13.1 P-35ESect-13.1 P-36ESect-13.1 P-37ESect-13.1 P-38ESect-13.1 P-39ESect-13.1 P-40ESect-13.1 P-41ESect-13.1 P-42ESect-13.1 P-43ESect-13.1 P-44ESect-13.1 P-45ESect-13.1 P-46ESect-13.1 P-47ESect-13.1 P-48ESect-13.1 P-49ESect-13.1 P-50ESect-13.1 P-51ESect-13.1 P-52ESect-13.1 P-53ESect-13.1 P-54ESect-13.1 P-55ESect-13.1 P-56ESect-13.1 P-57ESect-13.1 P-58ESect-13.1 P-59ESect-13.1 P-60ESect-13.1 P-61ESect-13.1 P-62ESect-13.1 P-63ESect-13.1 P-64ESect-13.1 P-65ESect-13.1 P-66ESect-13.1 P-67ESect-13.1 P-68ESect-13.1 P-69ESect-13.1 P-70ESect-13.1 P-71ESect-13.1 P-72ESect-13.1 P-73ESect-13.1 P-74ESect-13.1 P-75ESect-13.1 P-76ESect-13.1 P-77ESect-13.1 P-78ESect-13.1 P-79ESect-13.1 P-80ESect-13.1 P-81ESect-13.1 P-82ESect-13.1 P-83ESect-13.1 P-84ESect-13.1 P-85ESect-13.1 P-86ESect-13.1 P-87ESect-13.1 P-88ESect-13.2 P-1ESect-13.2 P-2ESect-13.2 P-3ESect-13.2 P-4ESect-13.2 P-5ESect-13.2 P-6ESect-13.2 P-7ESect-13.2 P-8ESect-13.2 P-9ESect-13.2 P-10ESect-13.2 P-11ESect-13.2 P-12ESect-13.2 P-13ESect-13.2 P-14ESect-13.2 P-15ESect-13.2 P-16ESect-13.2 P-17ESect-13.2 P-18ESect-13.2 P-19ESect-13.2 P-20ESect-13.2 P-21ESect-13.2 P-22ESect-13.2 P-23ESect-13.2 P-24ESect-13.2 P-25ESect-13.2 P-26ESect-13.2 P-27ESect-13.2 P-28ESect-13.2 P-29ESect-13.2 P-30ESect-13.2 P-31ESect-13.2 P-32ESect-13.2 P-33ESect-13.2 P-34ESect-13.2 P-35ESect-13.2 P-36ESect-13.2 P-37ESect-13.2 P-38ESect-13.2 P-39ESect-13.2 P-40ESect-13.2 P-41ESect-13.2 P-42ESect-13.2 P-43ESect-13.2 P-44ESect-13.2 P-45ESect-13.2 P-46ESect-13.2 P-47ESect-13.2 P-48ESect-13.2 P-49ESect-13.2 P-50ESect-13.2 P-51ESect-13.2 P-52ESect-13.2 P-53ESect-13.2 P-54ESect-13.2 P-55ESect-13.2 P-56ESect-13.2 P-57ESect-13.2 P-58ESect-13.2 P-59ESect-13.2 P-60ESect-13.2 P-61ESect-13.2 P-62ESect-13.2 P-63ESect-13.2 P-64ESect-13.2 P-65ESect-13.2 P-66ESect-13.2 P-67ESect-13.2 P-68ESect-13.2 P-69ESect-13.2 P-70ESect-13.2 P-71ESect-13.2 P-72ESect-13.2 P-73ESect-13.2 P-74ESect-13.2 P-75ESect-13.2 P-76ESect-13.2 P-77ESect-13.2 P-78ESect-13.3 P-1ESect-13.3 P-2ESect-13.3 P-3ESect-13.3 P-4ESect-13.3 P-5ESect-13.3 P-6ESect-13.3 P-7ESect-13.3 P-8ESect-13.3 P-9ESect-13.3 P-10ESect-13.3 P-11ESect-13.3 P-12ESect-13.3 P-13ESect-13.3 P-14ESect-13.3 P-15ESect-13.3 P-16ESect-13.3 P-17ESect-13.3 P-18ESect-13.3 P-19ESect-13.3 P-20ESect-13.3 P-21ESect-13.3 P-22ESect-13.3 P-23ESect-13.3 P-24ESect-13.3 P-25ESect-13.3 P-26ESect-13.3 P-27ESect-13.3 P-28ESect-13.3 P-29ESect-13.3 P-30ESect-13.3 P-31ESect-13.3 P-32ESect-13.3 P-33ESect-13.3 P-34ESect-13.3 P-35ESect-13.3 P-36ESect-13.3 P-37ESect-13.3 P-38ESect-13.3 P-39ESect-13.3 P-40ESect-13.3 P-41ESect-13.3 P-42ESect-13.3 P-43ESect-13.3 P-44ESect-13.3 P-45ESect-13.3 P-46ESect-13.3 P-47ESect-13.3 P-48ESect-13.3 P-49ESect-13.3 P-50ESect-13.3 P-51ESect-13.3 P-52ESect-13.3 P-53ESect-13.3 P-54ESect-13.3 P-55ESect-13.3 P-56ESect-13.3 P-57ESect-13.3 P-58ESect-13.3 P-59ESect-13.3 P-60ESect-13.3 P-61ESect-13.3 P-62ESect-13.3 P-63ESect-13.3 P-64ESect-13.3 P-65ESect-13.3 P-66ESect-13.3 P-67ESect-13.3 P-68ESect-13.3 P-69ESect-13.3 P-70ESect-13.3 P-71ESect-13.3 P-72ESect-13.3 P-73ESect-13.3 P-74ESect-13.3 P-75ESect-13.3 P-76ESect-13.3 P-77ESect-13.3 P-78ESect-13.3 P-79ESect-13.3 P-80ESect-13.3 P-81ESect-13.3 P-82ESect-13.3 P-83ESect-13.3 P-84ESect-13.3 P-85ESect-13.3 P-86ESect-13.3 P-87ESect-13.3 P-88ESect-13.3 P-89ESect-13.3 P-90ESect-13.3 P-91ESect-13.3 P-92ESect-13.3 P-93ESect-13.3 P-94ESect-13.3 P-95ESect-13.3 P-96ESect-13.3 P-97ESect-13.3 P-98ESect-13.3 P-99ESect-13.3 P-100ESect-13.3 P-101ESect-13.3 P-102ESect-13.3 P-103ESect-13.3 P-104ESect-13.4 P-1ESect-13.4 P-2ESect-13.4 P-3ESect-13.4 P-4ESect-13.4 P-5ESect-13.4 P-6ESect-13.4 P-7ESect-13.4 P-8ESect-13.4 P-9ESect-13.4 P-10ESect-13.4 P-11ESect-13.4 P-12ESect-13.4 P-13ESect-13.4 P-14ESect-13.4 P-15ESect-13.4 P-16ESect-13.4 P-17ESect-13.4 P-18ESect-13.4 P-19ESect-13.4 P-20ESect-13.4 P-21ESect-13.4 P-22ESect-13.4 P-23ESect-13.4 P-24ESect-13.4 P-25ESect-13.4 P-26ESect-13.4 P-27ESect-13.4 P-28ESect-13.4 P-29ESect-13.4 P-30ESect-13.4 P-31ESect-13.5 P-1ESect-13.5 P-2ESect-13.5 P-3ESect-13.5 P-4ESect-13.5 P-5ESect-13.5 P-6ESect-13.5 P-7ESect-13.5 P-8ESect-13.5 P-9ESect-13.5 P-10ESect-13.5 P-11ESect-13.5 P-12ESect-13.5 P-13ESect-13.5 P-14ESect-13.5 P-15ESect-13.5 P-16ESect-13.5 P-17ESect-13.5 P-18ESect-13.5 P-19ESect-13.5 P-20ESect-13.5 P-21ESect-13.5 P-22ESect-13.5 P-23ESect-13.5 P-24ESect-13.5 P-25ESect-13.5 P-26ESect-13.5 P-27ESect-13.5 P-28ESect-13.5 P-29ESect-13.5 P-30ESect-13.5 P-31ESect-13.5 P-32ESect-13.5 P-33ESect-13.5 P-34ESect-13.5 P-35ESect-13.5 P-36ESect-13.5 P-37ESect-13.5 P-38ESect-13.6 P-1ESect-13.6 P-2ESect-13.6 P-3ESect-13.6 P-4ESect-13.6 P-5ESect-13.6 P-6ESect-13.6 P-7ESect-13.6 P-8ESect-13.6 P-9ESect-13.6 P-10ESect-13.6 P-11ESect-13.6 P-12ESect-13.6 P-13ESect-13.6 P-14ESect-13.6 P-15ESect-13.6 P-16ESect-13.6 P-17ESect-13.6 P-18ESect-13.6 P-19ESect-13.6 P-20ESect-13.6 P-21ESect-13.6 P-22ESect-13.6 P-23ESect-13.6 P-24ESect-13.6 P-25ESect-13.6 P-26ESect-13.6 P-27ESect-13.6 P-28ESect-13.6 P-29ESect-13.6 P-30ESect-13.6 P-31ESect-13.6 P-32ESect-13.6 P-33ESect-13.6 P-34ESect-13.6 P-35ESect-13.6 P-36ESect-13.6 P-37ESect-13.6 P-38ESect-13.6 P-39ESect-13.6 P-40ESect-13.6 P-41ESect-13.6 P-42ESect-13.6 P-43ESect-13.6 P-44ESect-13.6 P-45ESect-13.6 P-46ESect-13.6 P-47ESect-13.6 P-48ESect-13.6 P-49ESect-13.6 P-50ESect-13.6 P-51ESect-13.6 P-52ESect-13.6 P-53ESect-13.6 P-54ESect-13.6 P-55ESect-13.6 P-56ESect-13.6 P-57ESect-13.6 P-58ESect-13.6 P-59ESect-13.CR P-1CCSect-13.CR P-2CCSect-13.CR P-3CCSect-13.CR P-4CCSect-13.CR P-5CCSect-13.CR P-6CCSect-13.CR P-7CCSect-13.CR P-8CCSect-13.CR P-9CCSect-13.CR P-10CCSect-13.CR P-11CCSect-13.CR P-12CCSect-13.CR P-1ESect-13.CR P-2ESect-13.CR P-3ESect-13.CR P-4ESect-13.CR P-5ESect-13.CR P-6ESect-13.CR P-7ESect-13.CR P-8ESect-13.CR P-9ESect-13.CR P-10ESect-13.CR P-11ESect-13.CR P-12ESect-13.CR P-13ESect-13.CR P-14ESect-13.CR P-15ESect-13.CR P-16ESect-13.CR P-17ESect-13.CR P-18ESect-13.CR P-19ESect-13.CR P-20ESect-13.CR P-21ESect-13.CR P-22ESect-13.CR P-23ESect-13.CR P-24ESect-13.CR P-25ESect-13.CR P-26ESect-13.CR P-27ESect-13.CR P-28ESect-13.CR P-29ESect-13.CR P-30ESect-13.CR P-31ESect-13.CR P-32ESect-13.CR P-33ESect-13.CR P-34ESect-13.CR P-35ESect-13.CR P-36ESect-13.CR P-37ESect-13.CR P-38ESect-13.CR P-39ESect-13.CR P-40ESect-13.CR P-41ESect-13.CR P-42ESect-13.CR P-43ESect-13.CR P-44ESect-13.CR P-45ESect-13.CR P-46ESect-13.CR P-47ESect-13.CR P-48ESect-13.CR P-49ESect-13.CR P-50ESect-13.CR P-51ESect-13.CR P-52ESect-13.CR P-53ESect-13.CR P-54ESect-13.CR P-55ESect-13.CR P-56ESect-13.CR P-57ESect-13.CR P-58ESect-13.CR P-59ESect-13.CR P-60ESect-13.CR P-61ESect-13.CR P-62ESect-13.CR P-63ESect-13.CR P-64ESect-13.CR P-65ESect-13.CR P-66ESect-13.CR P-67ESect-13.CR P-68ESect-13.CR P-69ESect-13.CR P-70ESect-13.CR P-71ESect-13.CR P-72ESect-13.CR P-73ESect-13.CR P-74ESect-13.CR P-75ESect-13.CR P-76ESect-13.CR P-77ESect-13.CR P-78ESect-13.CR P-79ESect-13.CR P-80ESect-13.CR P-81ESect-13.CR P-82ESect-13.CR P-83ESect-13.CT P-1CTSect-13.CT P-2CTSect-13.CT P-3CTSect-13.CT P-4CTSect-13.CT P-5CTSect-13.CT P-6CTSect-13.CT P-7CTSect-13.CT P-8CTSect-13.CT P-9CTSect-13.CT P-10CTSect-13.CT P-11CTSect-13.CT P-12CTSect-13.CT P-13CTSect-13.FOM P-1PSect-13.FOM P-2PSect-13.FOM P-3PSect-13.FOM P-4PSect-13.FOM P-5PSect-13.FOM P-6P