## MCQ Quiz on Class 11 Maths Chapter 4 Mathematical Induction with Answers

We have compiled the MCQ Questions for Class 11 Maths Chapter 4 Mathematical Induction with Answers Pdf free download covering the entire syllabus for JEE and Boards. Practice MCQ Questions for Class 11 Maths with Answers on a daily basis and score well in exams. Refer to Mathematical Induction Class 11 MCQs Quiz Questions with Answers here along with a detailed explanation.

## Mathematical Induction Class 11 MCQs Questions with Answers

MCQ Questions for Class 11 Maths Chapter 4 Principle of Mathematical Induction with Answers

1. (n² + n) is ____ for all n ∈ N.

2. {1/(3 ∙ 5)} + {1/(5 ∙ 7)} + {1/(7 ∙ 9)} + ……. + 1/{(2n + 1)(2n + 3)} =

3. If a statement is to be proved by mathematical induction, then the different steps necessary to prove it are

4. If n is an odd positive integer, then aⁿ + bⁿ is divisible by :

5. 102n-1 + 1 is divisible by ____ for all N ∈ N

6. {1 – (1/2)}{1 – (1/3)}{1 – (1/4)} ……. {1 – 1/(n + 1)} =

7. The sum of the series 1² + 2² + 3² + ………..n² is

8. The sum of cubes of three consecutive natural numbers is divisible by:

9. If n is a positive integer , then 2.7n+3.5n−5 is divisible by

10. For any natural number n, 7n – 2n is divisible by

11. (1 + x)n ≥ ____ for all n ∈ N,where x > -1

12. For all n ∈ N, 3×52n+1 + 23n+1 is divisible by

13. Find the number of shots arranged in a complete pyramid the base of which is an equilateral triangle, each side containing n shots.

14. Let P(n) b e a statement 2n<n! where n is a natural number, then P(n) is true for

15.  If P(n) : (2n + 7) < (n + 3)2 then P(3) is

16. The greatest positive integer, which divides n (n + 1) (n + 2) (n + 3) for all n ∈ N, is

17. For all n∈N, 72n − 48n−1 is divisible by :

18. For all n ∈ N , 49n+16n−1 is divisible by

19. A set S in which x S implies x+1 S is known as a _______ .

20. A student was asked to prove a statement P (n) by method of induction. He proved that P (3) is true and that P(n) ⇒ P(n+1) for all natural numbers n. On the basis of this he could conclude that P (n) is true

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