Concept explainers
To Find :The sum of the first n terms ,using mathematical induction
Answer to Problem 44E
The formula is
Explanation of Solution
Given: Use the mathematical induction to find the sum of the first n terms of the sequence .
The Given ,
Begin by writing first few sums
It appears that The sum of n terms is
This can be verified by mathematical induction
The formula has already been verified for n=1
Assume that the formula is valid for n=k
Then
Hence The formula is verified and The formula is
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