Answer :

Given; P(n) which it true for all n ≥ 4 but P(1), P(2) and P(3) are not true

Let P(n) be 2n < n!


This statement is true for all n ≥ 4 but P(1), P(2) and P(3) are not true.


i.e P(0) 20 < 0! i.e 1 < 1 Which is not true


P(1) 21 < 1! i.e 2 < 1 Which is not true


P(2) 22 < 2! i.e 4 < 2 Which is not true


P(3) 23 < 3! i.e 8 < 6 Which is not true


P(4) 24 < 4! i.e 16 < 24 Which is true


P(5) 25 < 5! i.e 32 < 60 Which is true


And so on.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Prove that cos α RD Sharma - Mathematics

Prove that sin x RD Sharma - Mathematics

Prove the followiRD Sharma - Mathematics

Prove the followiRD Sharma - Mathematics

Prove the followiRD Sharma - Mathematics

Prove the followiRD Sharma - Mathematics

Prove the followiRD Sharma - Mathematics

Prove the followiRD Sharma - Mathematics

Prove the followiRD Sharma - Mathematics

Prove that <span RD Sharma - Mathematics