Home
Class 12
MATHS
The statement 2^(n) ge n^(2) (where n in...

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

A

All n

B

`n ge 3`

C

`n lt 4`

D

`n gt 4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-C(Linked Comprehension Type Questions)|6 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Assignmenet ((Section-A(Objective Type Questions (One option is correct))|12 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

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 ?

Let P(n) be the statement : ”n^(2)+n is even" Prove that P(n) is true for all n in N by Mathematical Induction

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

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

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

Consider the statement P(n): n^(2) ge 100 . Here, P(n) Rightarrow P(n+1) for all n. Does it means that

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

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

Let P(n) be the statement 3^(n)>n. If P(n) is true,P(n+1) is also true.

AAKASH INSTITUTE-PRINCIPLE OF MATHEMATICAL -Section-B((Objective Type Questions (One option is correct))
  1. if P(n) be the statement 10n+3 is a prime number", then prove that P(1...

    Text Solution

    |

  2. x^(n)+y^(n) is divisible by (x+y) is true when n(in N) is of the form ...

    Text Solution

    |

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

    Text Solution

    |

  4. Choose the statement which is correct for all n in N

    Text Solution

    |

  5. n(n+1)(n+2) is divisible by k for AA n in N. The largest k is

    Text Solution

    |

  6. Mathematical induction is a tool or technique which is use to prove a ...

    Text Solution

    |

  7. For each n in N, 3^(2n)-1 is divisible by

    Text Solution

    |

  8. For each n in N, n(n+1) (2n+1) is divisible by

    Text Solution

    |

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

    Text Solution

    |

  10. For each n in N, 3.(5^(2n+1))+2^(3n+1) is divisible by

    Text Solution

    |

  11. 3.6+6.9+9.12+....+3n(3n+3)=

    Text Solution

    |

  12. Choose the proposition among the following that is not true for all n ...

    Text Solution

    |

  13. prove that 7 + 77 + 777 +...... + 777.........(n-digits) 7 = 7/81 (10...

    Text Solution

    |

  14. Choose the propostion among the following, that is not true for n=1 bu...

    Text Solution

    |

  15. Find the value of 1 xx 1!+2 xx 2!+3 xx 3!+........+n xx n!

    Text Solution

    |

  16. Choose the proposition that is not true for n gt 1 (n in N).

    Text Solution

    |

  17. Which of the following is true for n in N?

    Text Solution

    |

  18. For all n( gt 1) in N, by using mathematical induction or otherwise 1+...

    Text Solution

    |

  19. The sum of the square of three consecutive odd number increased by 1 i...

    Text Solution

    |

  20. Choose the propagation among the following that is true for all n in N

    Text Solution

    |