Concept explainers
To identify: The sequence
Answer to Problem 73E
The sequence
Explanation of Solution
Given information:
The given sequence is
Calculation:
If the sequence has a common difference, it’s an arithmetic sequence. If it has a common ratio, it is a geometric sequence.
Check common ratio for geometric sequence. Let
or,
From equation (1) and (2), it is clear that the sequence has common ratio. Therefore, it is a geometric sequence.
Check common difference. Let
or,
From equation (3) and (4), it is clear that the sequence has no common difference. It cannot be an arithmetic sequence.
Therefore, the sequence
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
- 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