Home
Class 11
MATHS
If (15^(2n-1)+1) is divisible by 16, the...

If `(15^(2n-1)+1)` is divisible by 16, then show that `(15^(2n+1)+1)` is also divisible by 16.

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS|12 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If (10^(2n-1)+1) is divisible by 11, then prove that (10^(2n+1)+1) is also divisible by 11.

If (2^(2n)-1) is divisible by 3, then show that, [2^(2(n+1))-1] is also divisible by 3.

If (2^(2n)-1) is divisible by 3, then show that [2^(2(n+1))-1] is also divisible by. 3

If (2^(2n)-1) is division by 3,then show that [2^(2(n+1))-1] is also divisible by 3.

If [12^(n)+25^(n-1)] is divisible by 13, then show that [12^(n+1)+25^(n)] is also divisible by 13.

If (2^(3n)-1) is divisible by 7, then prove that, [2^(3(n+1))-1] is also divisible by 7.

Let f(n)=n(n+1)(2n+1), if f(n) is always divisible ny 6 then prove that, f(n+1) is also divisible ny 6.

If [n^(3)+(n+1)^(3)+(n+2)^(3)] is also divisible by 9. then show that, [(n+1)^(3)+(n+2)^(3)+(n+3)^(3)] is also divisible by 9.

If n (> 1)is a positive integer, then show that 2^(2n)- 3n - 1 is divisible by 9.

(1+x)^n-nx-1 is divisible by (where n in N)

CHHAYA PUBLICATION-MATHEMATICAL INDUCTION -Exercise
  1. If 1*1!+2*2!+3*3!+ . . .+n*n ! =(n+1)!-1 then show that, 1*1!+2*2!+3*3...

    Text Solution

    |

  2. If (10^(2n-1)+1) is divisible by 11, then prove that (10^(2n+1)+1) is ...

    Text Solution

    |

  3. If (15^(2n-1)+1) is divisible by 16, then show that (15^(2n+1)+1) is a...

    Text Solution

    |

  4. If [12^(n)+25^(n-1)] is divisible by 13, then show that [12^(n+1)+25^(...

    Text Solution

    |

  5. If [n^(3)+(n+1)^(3)+(n+2)^(3)] is also divisible by 9. then show that,...

    Text Solution

    |

  6. If ninN,xgt-1 and (1+x)^(n)ge1+nx, then prove that (1+x)^(n+1)ge1+(n+1...

    Text Solution

    |

  7. Let f(n)=n(n+1)(2n+1), if f(n) is always divisible ny 6 then prove tha...

    Text Solution

    |

  8. For all ninNN, prove by principle of mathematical induction that, 1+...

    Text Solution

    |

  9. For all ninNN, prove by principle of mathematical induction that, a+...

    Text Solution

    |

  10. For all ninNN, prove by principle of mathematical induction that, si...

    Text Solution

    |

  11. For all ninNN, prove by principle of mathematical induction that, si...

    Text Solution

    |

  12. For all ninNN, prove by principle of mathematical induction that, (c...

    Text Solution

    |

  13. For all ninNN, prove by principle of mathematical induction that, (1...

    Text Solution

    |

  14. For all ninNN, prove by principle of mathematical induction that, a+...

    Text Solution

    |

  15. For all ninNN, prove by principle of mathematical induction that, 1^...

    Text Solution

    |

  16. For all ninNN, prove by principle of mathematical induction that, 1*...

    Text Solution

    |

  17. For all ninNN, prove by principle of mathematical induction that, 2^...

    Text Solution

    |

  18. For all ninNN, prove by principle of mathematical induction that, (1...

    Text Solution

    |

  19. For all ninNN, prove by principle of mathematical induction that, (1...

    Text Solution

    |

  20. For all ninNN, prove by principle of mathematical induction that, (1...

    Text Solution

    |