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

SKILLS

77-82 ■ Repeated Decimal Express the repeating decimal as a fraction.

0.2 53 ¯

To determine

The repeating decimal of 0.253¯ as a fraction.

Explanation

Approach:

If |r|<1, then the infinite geometric series converges.

k=1ark1=a+ar+ar2+ar3+

The sum of the infinite geometric series, when it is convergent is given as,

S=a1r ……(1)

Here, S is the sum of infinite geometric series, a is the first term of the sequence and r is the common ratio of the sequence.

If |r|1, then the infinite geometric series diverges.

Calculation:

The repeating decimal can be written as a series,

210+531000+53100,000+

Since the first term of the sequence is 531000 and the common ratio is 1100

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