Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

If P(k) is true and we show that P(k) implies P(k+1), then:
Options
A The proposition is false for all n
B P(n) is true for all integers
C P(n) is true for all n ≥ base case
Correct Answer
D The proof fails
Correct Answer

Option C is the correct answer.

Detailed Explanation

By induction, P(n) holds for all n ≥ base case.

Hint

The notes indicate answer C.

Question Info