Explain why or why not the proof of the following result is correct or not correct. Let n be and integer. If 3n - 8 is odd, then n is odd. Proof. Assume that n is odd. Then n = 2k + 1 for some integer k. Then 3n - 8 3(2k + 1)-8 6k+3-8 6k-5 2(3k - 3) + 1. || || || ||
Explain why or why not the proof of the following result is correct or not correct. Let n be and integer. If 3n - 8 is odd, then n is odd. Proof. Assume that n is odd. Then n = 2k + 1 for some integer k. Then 3n - 8 3(2k + 1)-8 6k+3-8 6k-5 2(3k - 3) + 1. || || || ||
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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