Concept explainers
To find: Formula for the general term
Answer to Problem 9E
The formula for the general term of the sequence is
Explanation of Solution
Given information: The sequence is
Calculation:
Here,
The numerators are powers of 2, in first term numerator is 20, in second term is 21, in third term is 22;
So, in general the nth term will have numerator 2n-1.
The denominators are powers of 3, in first term denominator is 30, in second term denominator is 31, in third term denominator is 32;
So, in general the nth term will have denominator 3n-1.
The signs of the terms are alternately positive and negative, so the general term will be multiplied by
Hence, the formula for the general term of the sequence is
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