For each positive integer n, let P(n) be the property5n –1
Chapter 5, Problem 6E(choose chapter or problem)
Problem 6E
For each positive integer n, let P(n) be the property
5n –1 is divisible by 4.
a. Write P (0). Is P (0) true?
b. Write P (k).
c. Write P(k + 1).
d. In a proof by mathematical induction that this divisibility property holds for all integers n ≥ 0, what must be shown in the inductive step?
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