Home
Class 11
MATHS
For all ninNN, prove by principle of mat...

For all `ninNN`, prove by principle of mathematical induction that,
`4^(n)+15n-1` is a multiple of 9.

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

Prove by the principle of mathematical induction that. 4^n+15n-1 is a mulitple of 9 for all n in N .

For all ninNN , prove by principle of mathematical induction that, 12^(n)+25^(n-1) is divisible by 13.

For all ninNN , prove by principle of mathematical induction that, 2^(3n)-1 is divisible by 7.

For all ninNN , prove by principle of mathematical induction that, 15^(2n-1)+1 is divisible by 16.

For all ninNN , prove by principle of mathematical induction that, 2*7^(n)+3*5^(n)-5 is divisible by 24.

Using the principle of mathematical induction prove that 41^n-14^n is a multiple of 27 .

For all ninNN , prove by principle of mathematical induction that, 1+3+5+ . . .+(2n-1)=n^(2) .

For all ninNN , prove by principle of mathematical induction that, a+ar+ar^(2)+ . . . to n terms =a*(r^(n)-1)/(r-1)[rne1] .

For all ninNN , prove by principle of mathematical induction that, 2^(2)+5^(2)+8^(2)+ . . . to n terms =(n)/(2)(6n^(2)+3n-1) .

For all ninNN , prove by principle of mathematical induction that, a+(a+d)+(a+2d)+ . . . to n terms =(n)/(2)[2a+(n-1)d] .

CHHAYA PUBLICATION-MATHEMATICAL INDUCTION -Exercise
  1. For all ninNN, prove by principle of mathematical induction that, 1*...

    Text Solution

    |

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

    Text Solution

    |

  3. For all ninNN, prove by principle of mathematical induction that, 4^...

    Text Solution

    |

  4. For all ninNN, prove by principle of mathematical induction that, 2*...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. For what natural numbers n the inequality 2^(n)gt2n+1 is valid ?

    Text Solution

    |

  8. 3^(2n+2)-8n-9 is divisible by

    Text Solution

    |

  9. If ninNN, then by principle of mathematical induction prove that, 10...

    Text Solution

    |

  10. If ninNN, then by principle of mathematical induction prove that, 3^...

    Text Solution

    |

  11. If ninNN, then by principle of mathematical induction prove that, 3^...

    Text Solution

    |

  12. If ninNN, then by principle of mathematical induction prove that, 7+...

    Text Solution

    |

  13. If ninNN, then by principle of mathematical induction prove that, 1+...

    Text Solution

    |

  14. If ninNN, then by principle of mathematical induction prove that, 1^...

    Text Solution

    |

  15. If ninNN, then by princuple of mathematical induction prove that, (1...

    Text Solution

    |

  16. If ninNN, then by princuple of mathematical induction prove that, (n...

    Text Solution

    |

  17. If ninNN, then by princuple of mathematical induction prove that, n*...

    Text Solution

    |

  18. If ninNN, then by principle of mathematical induction prove that, Pr...

    Text Solution

    |

  19. If ninNN, then by principle of mathematical induction prove that, Us...

    Text Solution

    |

  20. If ninNN, then by princuple of mathematical induction prove that, 2+...

    Text Solution

    |