1. If n is odd, prove that n+1 is even. 2. If a is a multiple of 6 and b is a multiple of 9, prove that a-b is a multiple of 3. 3. Suppose x satisfies 1 ≤ x ≤ 3. Prove that x² - 4x < 0.
1. If n is odd, prove that n+1 is even. 2. If a is a multiple of 6 and b is a multiple of 9, prove that a-b is a multiple of 3. 3. Suppose x satisfies 1 ≤ x ≤ 3. Prove that x² - 4x < 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 26E
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