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Mathematics Quiz on Principle of Mathematical Induction

Class XI
Mathematics
Principle of Mathematical Induction
14 questions
EASY

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

Base case verification · Inductive step · Conclusion · Generalization

2. In mathematical induction, what do we assume for the inductive step?

Base case is true · Inductive hypothesis is true · Final result is true · All integers are true

3. Which of the following is a common base case for induction?

n = 0 · n = 1 · n = 2 · n = 3

4. What does the principle of mathematical induction help to prove?

Inequalities · Formulas for all integers · Geometric series · Trigonometric identities

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

P(k) is false · P(k) is true · P(k+1) is false · P(k+1) is true