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

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

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

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, 1*2+2*3+3*4+ . . . +n(n+1)=(1)/(3)n(n+1)(n+2) .

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, 4^(n)+15n-1 is a multiple of 9.

For all ninNN , prove by principle of mathematical induction that, (1)/(1*2)+(1)/(2*3)+(1)/(3*4)+ . . .+(1)/(n(n+1))=(n)/(n+1) .

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

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, sinx+sin2x+sin3x+ . . . +sinnx=("sin"(n+1)/(2)x"sin"(nx)/(2))/("sin"(x)/(2))

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

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, 1+...

    Text Solution

    |

  3. For all ninNN, prove by principle of mathematical induction that, 1*...

    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, 4^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. 3^(2n+2)-8n-9 is divisible by

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |