Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

What is the first step in mathematical induction?
Options
A Assume the statement is true for n = k
B Prove the statement for n = 1
Correct Answer
C Prove the statement for n = k+1
D None of these
Correct Answer

Option B is the correct answer.

Detailed Explanation

The first step in mathematical induction is to prove the base case, typically n = 1 (or the smallest natural number for which the statement is claimed to be true).

Hint

Mathematical induction requires both a base case and an inductive step.

Question Info