Home
Class 11
MATHS
P(n):2^n - 1, for n = ……………it is a prime...

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

A

1

B

3

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
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

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

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

P(n):n^2 - n +41 , for n = ……, it is not prime number .

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

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

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

Statement-1: the highest power of 3 in .^(50)C_(10) is 4. Statement-2: If p is any prime number, then power of p in n! is equal to [n/p]+[n/p^(2)]+[n/p^(3)] + . . ., where [*] denotes the greatest integer function.

If S= {x |x is a positive multiple of 3 less than 100} and P= {x | x is a prime number less than 20} then n(S)+n(P) is equal to

For P(n):2^n = 0 ………..is true .