Home
Class 11
MATHS
For P(n):2^n lt n!……….. Is true...

For `P(n):2^n lt n!`……….. Is true

A

P(1)

B

P(2)

C

Any P(n) , `n in N`

D

P(4)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRATICE WORK|8 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|16 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|20 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|40 Videos

Similar Questions

Explore conceptually related problems

For P(n):2^n = 0 ………..is true .

P(n) : 2^(2^n) + 1 is a prime number . For n = ………., it is not true .

If P(n) : 2n lt n! , n in N , then P(n) is true for all n gt= ………….. .

P(n) : 2^n gt n^2 , for n = ………it is true.

Suppose P(n) : n^2 - n + 101 is prime number ....... is not true .

P(n) : 1^(2) + 2^(2) + 3^(2) + .......+ n^(2) = n/6(n+1) (2n+1) n in N is true then 1^(2) +2^(2) +3^(2) + ........ + 10^(2) = .......

P(n):2^n - 1 , for n = ……………it is a prime number.

P(n) : 4n + 1 , for n = ………….it is not a prime number