To prove that if
Answer to Problem 37E
The property that if
Explanation of Solution
Given:
Let
Concept used:
The Principle of Mathematical Induction states that for a statement
1.
2. for every positive integer k , the truth of
Calculation:
First to show that the property is valid for
Again, show that the property is valid for
Now, let us assume that for
we need to show that for
For
Here let two terms be
Therefore, by combining all the results, we can conclude by the mathematical induction that the property is valid for all
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