Home
Class 12
MATHS
For all n in N, 3.5^(2n+1) + 2^(3n+1) is...

For all `n in N, 3.5^(2n+1) + 2^(3n+1)` is divisible by:
(i) 17
(ii) 19
(iii) 23
(iv) 25

A

17

B

19

C

21

D

23

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL

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

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Assignmenet ((Section-A(Objective Type Questions (One option is correct))|11 Videos

  • PERMUTATIONS AND COMBINATIONS

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

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos

Similar Questions

Explore conceptually related problems

For all n in N, 2^(n+1) + 3^(2n-1) is divisible by: (i) 5 (ii) 7 (iii) 14 (iv) 135

For all n inN,3*5^(2n+1)+2^(3n+1) is divisible by (A) 19 (B) 17 (C) 23 (D) 25

For all n in N, 3n^(5) + 5n^(3) + 7n is divisible by

For all n in N, 3^(3n)-26^(n)-1 is divisible by

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

For all n in N , 3xx5^(2n+1)+2^(3n+1) is divisible by a. 19 b. 17 c. 23 d. 25

For all n in N, 7^(2n)-48n-1 is divisible by

For all n in N , 4^(n)-3n-1 is divisible by

If n is an odd natural number, then n(n^(2)-1) is divisible by: (i) 24 (ii) 48 (iii) 120 (iv) 64

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

AAKASH INSTITUTE ENGLISH-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(...

    Text Solution

    |

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

    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 used 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 all n in N, 3.5^(2n+1) + 2^(3n+1) is divisible by: (i) 17 (ii...

    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 the following by the principle of mathematical induction: 7+7...

    Text Solution

    |

  14. Choose the proposition 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 proposition among the following that is true for all n in N...

    Text Solution

    |