Concept explainers
To fill: The nth partial sum of a sequence and determine the fourth partial sum for the sequence
Answer to Problem 2E
The nth partial sum of a sequence is the sum of first n terms of the sequence and for the sequence
Explanation of Solution
A sequence is a function
The term
The given sequence is,
Substitute
Substitute
Substitute
Substitute
The sum of four terms is,
Substitute
Thus, The first n term of the sequence is the sum of the first
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th 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