(a)
To find: an example of an infinite geometric series in which
(a)
Answer to Problem 1CFU
The example is
Explanation of Solution
Given:
Concept used:
If there is common ratio then the series is geometric series.
Common ratio is:
Calculation:
Let’s consider the series as:
The above series is a geometric series with
This is an example of infinite geometric series in which
Hence, the example is
(b)
To find: the
(b)
Answer to Problem 1CFU
Explanation of Solution
Given:
Concept used:
If there is common ratio then the series is geometric series.
Common ratio is:
Calculation:
The
The above series is a geometric series.
Here
Hence,
(c)
To find: the sum of the first
(c)
Answer to Problem 1CFU
Explanation of Solution
Given:
Concept used:
If there is common ratio then the series is geometric series.
Common ratio is:
Calculation:
The sum of the first
Here
Using the below formulas for finding the sum of series as:
Hence, the sum series is
(d)
To find: the type of infinite geometric series which does not converge.
(d)
Answer to Problem 1CFU
These type of geometric series do not converge because, if
Explanation of Solution
Given:
Concept used:
If there is common ratio then the series is geometric series.
Common ratio is:
Geometric series never converge:
Calculation:
The sum of the first
Here
Hence, these type of geometric series do not converge because, if
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning