Concept explainers
To find: The first six terms of the sequence
Answer to Problem 64E
The first 6 terms of the sequence are
The first differences are 3,6,12,24,48
The second differences are 3,6,12,24
The sequence has neither perfectly linear model nor perfectly quadratic model.
Explanation of Solution
Given:
Calculation:
The first term of the sequence is
The recursive relation for the nth term of the sequence is
By substituting
The first differences of the sequence are
The second differences of the sequence are
Since, the neither second difference nor first difference between any two consecutive terms is constant, therefore, the sequence has neither perfectly linear model nor perfectly quadratic model.
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
- 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