Concept explainers
To identify: The sequence is
Answer to Problem 75E
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 no common ratio. Therefore, it cannot be a geometric sequence.
Check common difference. Let
or,
From equation (3) and (4), it is clear that the sequence has a common difference of
Therefore, the given 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