To prove that the Fibonacci number
Explanation of Solution
Given:
The Fibonacci number
Proof:
Proof by Mathematical induction:
For
Let the proposition is true for
Assume,
Then,
That is,
This shows that the given proposition is true for
Thus, by the principle of the mathematical induction
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning