Concept explainers
To show: The given statement is true for all natural numbers.
Answer to Problem 54RE
The statement is true for all natural numbers.
Explanation of Solution
Given: The given expression is
Substitute
The statement is true for
Assume that the statement is true for
Check for
Thus, the statement is true for
Both the conditions for mathematical induction are satisfied.
Thus, the statement is true for all natural numbers.
Chapter 12 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus & Its Applications (14th Edition)
Calculus and Its Applications (11th 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