Home
Class 11
MATHS
The statement n! gt 2^(n-1), n in N is t...

The statement `n! gt 2^(n-1), n in N` is true for

A

all `n gt 1`

B

all`n in N`

C

all `n gt 2`

D

all`nin N`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise (OBJECTIVE TYPE QUESTIONS)(FILL IN THE BLANKS)|5 Videos
  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise (OBJECTIVE TYPE QUESTIONS)(TRUE/FALSE QUESTIONS)|5 Videos
  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise (OBJECTIVE TYPE QUESTIONS)(QUESTIONS FROM NCERT EXEMPLAR)|5 Videos
  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise CHAPTER TEST 14|12 Videos

Similar Questions

Explore conceptually related problems

The statement 2^(n) ge n^(2) (where n in N) is true for

The statement i.e. (n+3)^(2) gt 2^(n+3) is true.

If P(n) is the statement 2^(n)>=3n, and if P(r) is true,prove that P(r+1) is true.

If x gt -1 , then the statement (1+x)^n gt 1 +nx is true for

Let P(n) be the statement : n^(2) +n is even Is P(n) true for all ninN ?

Let P (n) be the statement 2^(n) ge n . When P (r) is true, then is it true that P (r + 1) is also true ?

(n!)^(2)>n^(n) is true for

Let P(n) be the statement : 2^(n)gt 1 . Is P(1) true ?

If P(n) is the statement n^(2)+n is even,and if P(r) is true then P(r+1) is true.