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

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)`.

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 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 : 1+4+7+.....+ (3n-2)= (n(3n-1))/2 .

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 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 : 15^(2n-1)+1 is multiple of 16.

By the Principle of Mathematical Induction, prove the following for all n in N : 5^(2n)-1 is divisible by 24.

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

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 : 1/1.3+1/3.5+1/5.7+......+ 1/((2n -1)(2n +1))= n/(2n +1) .

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

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

    Text Solution

    |