Home
Class 12
MATHS
If sum(n=1)^5 1/(n(n+1)(n+2)(n+3))=k/3, ...

If `sum_(n=1)^5 1/(n(n+1)(n+2)(n+3))=k/3,` then `k` is equal to :-

A

`55/336`

B

`17/105`

C

`1/6`

D

`19/112`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

sum_(k=1)^n k^3=

lim_(n rarr infty) sum_(k=1)^(n) (n)/(n^(2)+k^(2)x^(2)),x gt 0 is equal to

sum_(k =1)^(n) k(1 + 1/n)^(k -1) =

If S(n)=sum_(k=1)^(n)(k)/(k^(4)+(1)/(4)), then (221S(10))/(10) is equal to:

Given S_(n)=sum_(k=1)^(n)(k)/((2n-2k+1)(2n-k+1)) and T_(n)=sum_(k=1)^(n)(1)/(k) then (T_(n))/(S_(n)) is equal to

lim_ (n rarr oo) sum_ (k = 1) ^ (n) (k) / (n ^ (2) + k ^ (2)) is equals to

If sum_(k=1)^(n)4(k-3)=An^(2)+Bn+C,n in N then |A+B-C| equals

Let a_(n)=sum_(k=1)^(n)(1)/(k(n+1-k)), then for n>=2

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. The value of sum(r = 16)^(30)(r + 2)(r - 3) is equal to :

    Text Solution

    |

  2. The sum of the 3rd and the 4th terms of a G.P. is 60 and the product o...

    Text Solution

    |

  3. If sum(n=1)^5 1/(n(n+1)(n+2)(n+3))=k/3, then k is equal to :-

    Text Solution

    |

  4. If the 2^(nd), 56^(th) and 9^(th) terms of a non-constant A. P. are in...

    Text Solution

    |

  5. If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3...

    Text Solution

    |

  6. Let a1, a2, a3, ....an,.........be in A.P. If a3 + a7 + a11 + a15 = 7...

    Text Solution

    |

  7. For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3a...

    Text Solution

    |

  8. Let a,b,c in R. " If " f(x) =ax^(2)+bx+c be such that a+b+c=3 and f(x+...

    Text Solution

    |

  9. If the arithmetic mean of two numbers a and b,a>b>0, is five times the...

    Text Solution

    |

  10. If the sum of the first n terms of the series sqrt3+sqrt75+sqrt243+sqr...

    Text Solution

    |

  11. Sn=1/(1^3)+(1+2)/(1^3+2^3)+(1+2+3)/(1^3+2^3+3^3)+.........+(1+2+.....+...

    Text Solution

    |

  12. in three positive numbers a, b and c are in A.P. such that abc = 8, th...

    Text Solution

    |

  13. Let a1,a2,... a49 be in A.P. Such that sum(k=0)^12a(4k+1)=416 and a9+a...

    Text Solution

    |

  14. Let A be the sum of the first 20 terms and B be the sum of the first 4...

    Text Solution

    |

  15. If x(1), x(2) ....... x(n) & (1)/(h(1)), (1)/(h(2)) .....(1)/(h(n)) ar...

    Text Solution

    |

  16. If a,b,c are in A.P.and a^(2),b^(2),c^(2) are in G.P.such that a lt ...

    Text Solution

    |

  17. Let Let 1/x1,1/x2...1/xn(x i ne0" for "i=1,2,...n) in A.P. Such that x...

    Text Solution

    |

  18. The sum of the first 20 terms of the series 1+3/2+7/4+15/8+31/16+... i...

    Text Solution

    |

  19. If b is the first term of an infinite G.P. Whose sum is five, then b l...

    Text Solution

    |

  20. Let An=(3/4)-(3/4)^2+(3/4)^3+….+(-1)^(n-1)(3/4)^n and Bn = 1-An. find ...

    Text Solution

    |