Question Detail
Question
Suppose the base case for the mathematical induction is to show that P(1) is true. We assume that P(k) is true, what next do we prove?
Correct Answer
Option C is the correct answer.
Detailed Explanation
In mathematical induction, after proving the base case P(1) and assuming P(k) is true, we then prove that P(k+1) is true. This completes the inductive step.
Hint
The inductive step shows that if it's true for k, it's true for k+1.