Concept explainers
a.
To Compute : The first five terms of the sequence.
a.
Answer to Problem 41E
The first five terms of the sequence are : 1060, 1123.6, 1191, 1262.5 and 1338.2 .
Explanation of Solution
Given Information :
The nthterm of a sequence is given by,
Calculation:
Substituting n = 1 in equation (1) gives the first term as,
Substituting n = 2 in equation (1) gives the second term as,
Substituting n = 3 in equation (1) gives the third term as,
Substituting n = 4 in equation (1) gives the fourth term as,
Substituting n = 5 in equation (1) gives fifth term as,
Conclusion:
Thus,
The first five terms of the sequence are : 1060, 1123.6, 1191, 1262.5 and 1338.2 .
b.
To Find : If the sequence is convergent or divergent.
b.
Answer to Problem 41E
Obtained sequence is a divergent sequence.
Explanation of Solution
Given Information :
For
For the sequence 1060, 1123.6, 1191, 1262.5 and 1338.2 . . . , the limit is
Therefore, the sequence is divergent .
Conclusion :
Thus,
The sequence is a divergent sequence.
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- 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