← Back to quiz index

Principle of Mathematical Induction Quiz

Class XI
Mathematics
Principle of Mathematical Induction
15 questions
MEDIUM

Ready to take the quiz?

Test takers will enter name and email before starting.

Start quiz

Preview questions

1. What is the first step in the principle of mathematical induction?

Assume the statement is true for n · Prove the base case · Prove the statement for n+1 · None of the above

2. In mathematical induction, what does the base case typically involve?

n = 0 · n = 1 · n = 2 · Any integer n

3. If P(k) is true, what must be shown to prove P(k+1)?

P(k) is false · P(k) implies P(k+1) · P(k) is true for all k · P(k+1) is false

4. Which of the following is an example of a statement suitable for induction?

The sum of the first n natural numbers · The product of the first n even numbers · The factorial of n · All of the above

5. What is the formula for the sum of the first n natural numbers?

n(n+1)/2 · n(n-1)/2 · n(n+1) · n^2