Home
Class 11
MATHS
By the Principle of Mathematical Inducti...

By the Principle of Mathematical Induction, prove the following for all n `in` N :
`1+4+7+.....+ (3n-2)= (n(3n-1))/2` .

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

By using the Principle of Mathematical Induction, prove the following for all n in N : x+4x+7x+......+(3n-2)x=1/2n (3n-1) x .

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

By the Principle of Mathematical Induction, prove the following for all n in N : 5+15+45+.....+5 (3)^(n-1) = 5/2 (3^n-1) .

By the Principle of Mathematical Induction, prove the following for all n in N : 4+8+ 12+......+ 4n= 2n(n + 1) .

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 : 1.3+2.3^2 +3.3^3+.....+ n.3^n= ((2n-1)3^(n+1)+3)/4 .

By the Principle of Mathematical Induction, prove the following for all n in N : 1^2+2^2+3^2+ .......... + n^2> n^3/3 .

By the Principle of Mathematical Induction, prove the following for all n in N : 1.2+2.2^2 +3.2^3+.....+ n.2^n= (n-1)2^(n+1)+2 .

By the Principle of Mathematical Induction, prove the following for all n in N : 3.6+6.9+9.12+......+ 3n(3n+3) = 3n(n + 1) (n + 2) .

By the Principle of Mathematical Induction, prove the following for all n in N : 1+3+5+....... +(2n-1) =n^2 i.e. the sum of first » odd natural numbers is n^2 .

MODERN PUBLICATION-MATHEMATICAL INDUCTION-EXERCISE
  1. By the Principle of Mathematical Induction, prove the following for al...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |