Home
Class 11
MATHS
Prove the following by using the princip...

Prove the following by using the principle of mathematical induction for all `n in N`
`(2n+7) lt (n+3)^2`

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT GUJARATI|Exercise EXERCISE - 4.1|24 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 7|11 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISEON CHAPTER 25|1 Videos

Similar Questions

Explore conceptually related problems

Prove the following by using the principle of mathematical induction for all n in N 3^n gt 2^n

Prove the following by using the principle of mathematical induction for all n in N (2n+1) lt 2^n , n >= 3

Prove the following by using the principle of mathematical induction for all n in N (1+x)^n lt= (1+nx)

Prove the following by using the principle of mathematical induction for all n in N 1+2+3+…….+n lt 1/8 (2n+1)^2

Prove the following by using the principle of mathematical induction for all n in N x^(2n) - y^(2n) is divisible by x + y .

Prove the following by using the principle of mathematical induction for all n in N 3^(2n+2) - 8n -9 is divisible by 8 .

Prove the following by using the principle of mathematical induction for all n in N 1 + 2 + 2^2 + …..+2^n = 2^(n+1) -1

Prove the following by using the principle of mathematical induction for all n in N 4+8 + 12 + …….+4n = 2n (n+1)

Prove the following by using the principle of mathematical induction for all n in N 3 xx 6 + 6 xx 9 + 9 xx 12 + …..+ (3n)(3n+3) = 3n(n+1)(n+2)

Prove the following by using the principle of mathematical induction for all n in N 10^(2n-1) + 1 is divisible by 11.

NCERT GUJARATI-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE - 4.1
  1. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |