Home
Class 12
MATHS
Choose the statement which is correct fo...

Choose the statement which is correct for all `n in N`

A

`2n gt 2n+1`

B

`x^(n)-y^(n)` is divisible by (x+y)

C

`x^(n)-y^(n)` is divisible by (x-y)

D

`1+(1)/(4)+(1)/(9)+(1)/(16)+....+(1)/(n^(2)) lt 2-(1)/(n)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

Choose the statement which is correct for monosporic female gametophyte.

Choose the statement which is not correct in the case of an electric fuse.

Which statement is correct for n=5, m=3

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

    |