Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

For principle of mathematical induction to be true, what type of number should "n" be?
Options
A Rational Number
B Whole Number
C Natural Number
Correct Answer
D Integers
Correct Answer

Option C is the correct answer.

Detailed Explanation

Mathematical induction is typically applied to statements involving natural numbers (positive integers). The principle requires a base case (usually n=1) and an inductive step showing that if the statement holds for n=k, then it holds for n=k+1, which works for natural numbers.

Hint

Mathematical induction usually starts with the smallest positive integer.

Question Info