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Class 11 Maths Practice Test - Principle of Mathematical Induction
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Class 11 Maths Practice Test - Principle of Mathematical Induction
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11 Questions

1. For principle of mathematical induction to be true, what type of number should ‘n’ be?
2. P(n) = n(n2 – 1). Which of the following does not divide P(k+1)?
3. If P(k) = k2 (k + 3) (k2 – 1) is true, then what is P(k + 1)?
4. 72n + 22n – 2 . 3n – 1 is divisible by 50 by principle of mathematical induction.
5. P(n) = n(n2 – 1). Which of the following does not divide P(k+1)?
6. n2 + 3n is always divisible by which number, provided n is an integer?
7. If 103n + 24k + 1. 9 + k, is divisible by 11, then what is the least positive value of k?
8. For principle of mathematical induction to be true, what type of number should ‘n’ be?
9. n3 + 5n is divisible by which of the following?
10. What would be the hypothesis of mathematical induction for n(n + 1) < n! (where n ≥ 4) ?
11. 72n + 22n – 2 . 3n – 1 is divisible by 50 by principle of mathematical induction.

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