Home
Class 11
MATHS
Given an example of a statement P(n) whi...

Given an example of a statement `P(n)` which is true for all `ngeq4` but `P(1),\ P(2)a n d\ P(3)` are not true. Justify your answer.

Text Solution

Verified by Experts

The correct Answer is:
`2^(n)ltn!`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 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

Given an example of a statement P(n) which is true for all n>=4 but P(1),P(2) and P(3) are not true.Justify your answer.

Given an example of a statement P(n) such that it is true of all nN.

Give an example of a statement P(n) such that P(3) is true, but P(4) is not true.

Let P (n) be the statement." 2^(3n-1) is integral multiple of 7". Then, P (1), P (2) and P (3) are true ?

Which of the statement is not true for a p-n junction

If P(n) is the statement n^(2)-n+41 is prime. Prove that P(1),P(2) and P(3) are true. Prove also that P(41) is not true.

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

If P(n) is a statement which is true for n=1 and true for (x+1) ,then__________

Is it true to say that a_n= 3n^(2) + 5 is the n^(th) term of an A.P. sequence? Justify your answer.

Which statement is true about n/p ratio?