For each positive integer n, let P(n) be the property 5n − 1 is divisible by 4. Write P(0). Is P(0) true? Write P(k). Is P(K) true? Write P(k + 1). Is P(K + 1) true?

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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For each positive integer n, let P(nbe the property 5n − 1 is divisible by 4.

  1. Write P(0). Is P(0true?
  2. Write P(k). Is P(Ktrue?
  3. Write P(+ 1). Is P(K + 1true?
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