Home
Class 11
MATHS
Let P(n):2^n<(1xx2xx3xxxxn) . Then the s...

Let `P(n):2^n<(1xx2xx3xxxxn)` . Then the smallest positive integer for which `P` `(n)` is true is `1` b. `2` c. `3` d. `4`

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise (OBJECTIVE TYPE QUESTIONS)(FOR BOARD EXAMINATIONS)|15 Videos

  • MATHEMATICAL INDUCTION

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

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE-4(b)(Long Answer Type Questions-II)|4 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

Let P(n):3^(n) =lambda then smallest value of lambda is

Let P(n) :n^(2)+n is even.Is P(1) is true?

Let P(n): n^(2)-n+41 is a prime number, then

Let P(n) :n^(2) >9 . Is P(2) true?

Let P(n): n^(2)+n is odd, then P(n) Rightarrow P(n+1) for all n. and P(1) is not true. From here, we can conclude that

Let P(n):n^(2)+n+1 is an even integer.If P(k) is assumed true rArr P(k+1) is true. Therefore P(n) is true: