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

If `sum_(r=1)^(prop) t_(r ) = ( n (n +1) ( n + 2) ( n + 3))/( 8 ) ` , where `t_(r ) ` denotes the rth term of a seires, then `underset( n rarr prop ) ( "lim") sum_(r = 1) ^(prop ) (1)/( t_(r )) ` is `:`

A

`(1)/(8)`

B

`(1)/( 4)`

C

`(1)/(2)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS|11 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos

  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

If sum_(r=1)^(n)T_(r)=(n(n+1)(n+2)(n+3))/(12) where T_(r) denotes the rth term of the series. Find lim_(nto oo) sum_(r=1)^(n)(1)/(T_(r)) .

lim_(n to oo) sum_(r = 1)^(n) 1/n e^(r/n) is :

sum_(r=0)^(m)( n+r )C_(n)=

lim_(n to oo) sum_(r = 1)^(n) 1/n sin(r pi)/(2pi) is :

lim_(n rarr oo) (1)/(n^(3)) sum_(r = 1)^(n) r^(2) is :

lim_(x rarr oo) (1)/(n^(4)) sum_(r = 1)^(n) r^(3) is :

lim_(n rarr oo) 1/n^(3) sum_(k=1)^(n) k^(2)x =

The value of sum_(r=1)^(n) log ((a^(r ))/( b^(r-1))) is :

MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. If a(1) , a(2),"………",a(n) are n non-zero real numbers such that ( a(1)...

    Text Solution

    |

  2. The sum of n terms of the series : (1)/( 1.2.3.4) + ( 1)/( 2.3.4.5) ...

    Text Solution

    |

  3. If sum(r=1)^(prop) t(r ) = ( n (n +1) ( n + 2) ( n + 3))/( 8 ) , wher...

    Text Solution

    |

  4. sum(i=1)^(n) sum(j=1)^(i)sum(k=1)^(j) 1 equals :

    Text Solution

    |

  5. If log(x)a,a^(x//2) and log(b)x are in G.P., then x equals :

    Text Solution

    |

  6. If x,y,z are in A.P. and tan^(-1)x , tan^(-1)y and tan^(-1) z are als...

    Text Solution

    |

  7. If P,Q,R be the A.M., G.M., H.M. respectively between any two rational...

    Text Solution

    |

  8. Let S = ( 8 ) /( 5) + ( 16)/( 65) +"...." + ( 128)/( 2^(18) + 1) , th...

    Text Solution

    |

  9. The sides a,b,c of Delta ABC are in G.P. , where log a - log 2b, log ...

    Text Solution

    |

  10. Let alpha, beta be the roots of x^(2) -x + p = 0 and gamma , delta b...

    Text Solution

    |

  11. If the sum of the first 2n terms of the A.P. 2,5,8,"……….." is equal to...

    Text Solution

    |

  12. The first term of a G. P. is 1. The sum of the third and fifth terms i...

    Text Solution

    |

  13. Suppose a,b,c are in A.P. and a^(2) , b^(2) , c^(2) are in G.P. If a ...

    Text Solution

    |

  14. If sum of the roots of the quadratic equation ax^(2) + bx+c = 0 is equ...

    Text Solution

    |

  15. If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and...

    Text Solution

    |

  16. The sum of first n terms of the series 1^(2) + 2.2^(2) +3^(2) + 2. 4...

    Text Solution

    |

  17. If s= sum(n=0)^(oo) a^(n) , y = sum(n=0)^(oo) b^(n) , z= sum (n=0)^(oo...

    Text Solution

    |

  18. If alpha, beta are roots of ax^(2) + bx + c =0 , a cancel(=) 0 and alp...

    Text Solution

    |

  19. Let a(1) , a(2) , a(3) , "……………" be terms of an A.P. If (a(1) + a(2) +...

    Text Solution

    |

  20. If a(r ) gt 0, r in N and a(1), a(2) , a(3) ,"……..",a(2n) are in A.P....

    Text Solution

    |