Home
Class 12
MATHS
A student was asked to prove a statement...

A student was asked to prove a statement P(n) by using the principle of mathematical induction. He proved that `P(n) Rightarrow P(n+1)` for all `n in N` and also that P(4) is true:
On the basis of the above he can conclude that P(n) is true.

A

For all `n in N`

B

For all `n gt 4`

C

For all `n ge 4`

D

For all `n lt 4`.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-B((Objective Type Questions (One option is correct))|20 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-C(Linked Comprehension Type Questions)|6 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Try yourself|9 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos
  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos

Similar Questions

Explore conceptually related problems

Using the principle of mathematical induction, prove that n<2^(n) for all n in N

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using the principle of mathematical induction, prove that (7^(n)-3^(n)) is divisible by 4 for all n in N .

Using the principle of mathematical induction prove that (1+x)^(n)>=(1+nx) for all n in N, where x>-1

Using the principle of mathematical induction, prove that (n^(2)+n) is seven for all n in N .

By using principle of mathematical induction, prove that 2+4+6+….2n=n(n+1), n in N

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

Using the principle of mathematical induction, prove each of the following for all n in N 3^(n) ge 2^(n)

Let P(n) be a statement such that P(n) Rightarrow P(n+1) for all n in NN . Also, if P(k) is true, k in N , then we can conclude that.-