Concept explainers
The sum of the given infinite geometric series.
Answer to Problem 82E
The sum is divergent.
Explanation of Solution
Given information: The infinite geometric series
Concept used:
In a sequence
So, a number r is defined as the common ratio of the geometric sequence if
The sum of an infinite geometric series
Calculation:
Consider the series
Here the first term
Then the common ratio
As,
So, the sum is divergent.
It is not possible to find out the sum of the infinite series.
Chapter 8 Solutions
Precalculus with Limits: A Graphing Approach
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning