Home
Class 11
MATHS
Prove that the Principle of Mathematical...

Prove that the Principle of Mathematical Induction does not apply to the following :
P(n) : " `n^3> 100`".

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE|85 Videos

  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE|289 Videos

  • MATHEMATICAL MODELLING

    MODERN PUBLICATION|Exercise EXAMPLE|3 Videos

Similar Questions

Explore conceptually related problems

Prove that the Principle of Mathematical Induction does not apply to the following : P(n) : " n^3+n is divisible by 3" .

By Principle of Mathematical Induction, prove that : 2^n >n for all n in N.

By the Principle of Mathematical Induction, prove the following for all n in N : n^2-n+41 is prime.

By Mathematical Induction, prove that : n! 1 .

By Mathematical Induction, prove the following : 12^n +25^(n-1) is divisible by 13.

By the Principle of Mathematical Induction, prove the following for all n in N : 2^(3n)-1 is divisible by 7 .

By the Principle of Mathematical Induction, prove the following for all n in N : 3^(2n)-1 is divisible by 8 .

By using the Principle of Mathematical Induction, prove the following for all n in N : 1.1! +2.2! +3.3! +.......+ n.n! = (n+1)!-1 .

MODERN PUBLICATION-MATHEMATICAL INDUCTION-EXERCISE
  1. If P(n) is the statement : ''^nCr len ! for 1 le r len ", then : show ...

    Text Solution

    |

  2. Prove that the Principle of Mathematical Induction does not apply to t...

    Text Solution

    |

  3. Prove that the Principle of Mathematical Induction does not apply to t...

    Text Solution

    |

  4. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

  5. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

  6. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

  7. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

  8. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

  9. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |

  10. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

  11. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |

  12. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |

  13. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

  14. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |

  15. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

  16. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

  17. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

  18. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |

  19. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |

  20. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |