Home
Class 11
MATHS
If sum (r=1)^(n) t(r) = (1)/( 12) n (n+1...

If `sum _(r=1)^(n) t_(r) = (1)/( 12) n (n+1) (n+2)` then `sum_(r=1)^(n) (1)/( t_r)`

A

`(2n)/( n+1)`

B

`(4n)/( n+1)`

C

`(3n)/( n+2)`

D

`(3n)/( n+1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos

Similar Questions

Explore conceptually related problems

sum_(r=1)^(n) (-1)^(r-1) ""^nC_r(a - r) =

If sum_(r=1)^(n) a_(r) = (n (n+1)(n+2) )/( 6) AA n ge 1 , then Lt_(n to oo) sum_(r=1)^(n) (1)/( a_r)=

If a_(n)=sum_(r=0)^(n)(1)/(""^(n)C_(r)) then sum_(r=0)^(n)(r)/(""^(n)C_(r)) equal to

Lt_(ntooo)sum_(r=0)^(n-1)(1)/(n+r)=

sum_(r = 0)^(n-1) (C_r)/(C_r + C_(r+1)) =

Let f(1)=1 and f(n)=2 sum_(r=1)^(n-1)f(r) then sum_(n=1)^(m)f(n)=

AAKASH SERIES-MATHEMATICAL INDUCTION-PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)
  1. S(n) = 1^(3) + 2^(3) + 3^(3) + …... + n^(3) and T(n) = 1+ 2 + 3+ 4….....

    Text Solution

    |

  2. A = sum of first 10 natural numbers, B = sum of squares of first 10 ...

    Text Solution

    |

  3. If sum (r=1)^(n) t(r) = (1)/( 12) n (n+1) (n+2) then sum(r=1)^(n) (1)...

    Text Solution

    |

  4. 1+ (1+3) + (1+3+ 5) + ….n brackets =

    Text Solution

    |

  5. 1+ ((1)/(3) + (1)/(3^2) ) + (( 1)/( 3^3) + (1)/( 3^4) + (1)/( 3^5) ) ...

    Text Solution

    |

  6. Sum of n^( th) bracket of (1) + (2+ 3+4) + ( 5+ 6+ 7+ 8+9) + ….. is

    Text Solution

    |

  7. { n (n+1) (2n+1) : n in Z} sub

    Text Solution

    |

  8. If a,b and n are natural numbers then a^(2n-1) + b^(2n-1) is divisible...

    Text Solution

    |

  9. If 'a' and 'b'are natural numbers such that a^(2) - b^(2) is prime num...

    Text Solution

    |

  10. AA n in N, 49^(n) + 16n -1 is divisible by

    Text Solution

    |

  11. AA n in , 7^(2n) + 3^(n-1) . 2^(3n-3) is divisible by

    Text Solution

    |

  12. Sum of the cubes of three successive natural number is divisible by

    Text Solution

    |

  13. For every natural number n, 3^(2n+2) - 8n -9 is divisible by

    Text Solution

    |

  14. If 10^(n) + 3.4^(n) + x is divisible by 9 for all n in N, then least ...

    Text Solution

    |

  15. AA n in N, 5^(2n+2) - 24n - 25 is divisible by

    Text Solution

    |

  16. If y^(n) -1 is divisible by y+ a for all values of n in N, then a must...

    Text Solution

    |

  17. 7^(13) + 6^(13) is divisible by

    Text Solution

    |

  18. (1+ x)^(n) -nx -1 is divisible by (where n in N )

    Text Solution

    |

  19. For a positive integer (n gt 1), Let a (n) = 1+ (1)/(2) + (1)/(3) + (1...

    Text Solution

    |

  20. For all positive integers n gt 1, { x(x^(n-1) - n,a^(n-1) ) } + a^(n) ...

    Text Solution

    |