This question is related to Discrete Mathematics For each positive integer n, let P(n) be the property 5n − 1 is divisible by 4. Point to be noted that it is 5n-1 not 5^n-1 Write P(0). Is P(0) true? Write P(k). Write P(k + 1). In a proof by mathematical

This question is related to Discrete Mathematics

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

Point to be noted that it is 5n-1 not 5^n-1

1. Write P(0). Is P(0) true?
2. Write P(k).
3. Write P(k + 1).
4. In a proof by mathematical induction that this divisibility property holds for all integers n ≥ 0, what must be shown in the inductive step?