Concept explainers
Write first five terms of the sequence, calculate first and second diff of sequence also state model of the sequence
Answer to Problem 76RE
First five terms of the sequence are,
First difference:
Second difference:
The second differences are all same, the sequence has a perfect quadratic model
Explanation of Solution
Given:
Consider,
Considering the given,
So,
Hence first five terms of the sequence are,
The first difference of the sequence are found by subtracting consecutive terms.
The second differences are found by subtracting consecutive first differences.
Thus,
First difference:
Second difference:
Since the second differences are all same, the sequence has a perfect 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