Home
Class 11
MATHS
Prove that by using the principle of ma...

Prove that by using the principle of mathematical induction for all `n in N`:
`(1)/(1.4)+ (1)/(4.7)+(1)/(7.10)+...+ (1)/((3n-2)(3n+1))= (n)/(3n+1)`

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

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

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

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISEON CHAPTER 25|1 Videos

Similar Questions

Explore conceptually related problems

Prove that by using the principle of mathematical induction for all n in N : (1)/(2.5)+ (1)/(5.8) + (1)/(8.11)+ ...+(1)/((3n-1)(3n+2))= (n)/(6n+4)

Prove that by using the principle of mathematical induction for all n in N : (1)/(3.5)+ (1)/(5.7)+ (1)/(7.9)+ ....+(1)/((2n+1)(2n+3))= (n)/(3(2n+3))

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

Prove that by using the principle of mathematical induction for all n in N : (1)/(2)+ (1)/(4)+ (1)/(8)+ ......+ (1)/(2^(n))= 1-(1)/(2^(n))

Prove that by using the principle of mathematical induction for all n in N : (1)/(1.2.3)+ (1)/(2.3.4)+ (1)/(3.4.5)+....+ (1)/(n(n+1)(n+2))= (n(n+3))/(4(n+1)(n+2))

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

Prove that by using the principle of mathematical induction for all n in N : 1+ (1)/((1+2))+ (1)/((1+2+3))+ .....+(1)/((1+2+3+n))= (2n)/(n+1)

Prove that by using the principle of mathematical induction for all n in N : (1+(1)/(1))(1+(1)/(2))(1+(1)/(3))....(1+(1)/(n))= (n+1)

Prove that by using the principle of mathematical induction for all n in N : (1+(3)/(1))(1+(5)/(4))(1+(7)/(9))....(1_+((2n+1))/(n^(2)))= (n+1)^(2)

Prove that by using the principle of mathematical induction for all n in N : n(n+1)(n+5) is a multiple of 3

NCERT BANGLISH-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE - 4.1
  1. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  2. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  3. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  4. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  5. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  6. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  7. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  8. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  9. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  10. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  11. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  12. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  13. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  14. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  15. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  16. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  17. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  18. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  19. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  20. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |