Home
Class 12
MATHS
Value of 1+1/(1+2)+1/(1+2+3)+....+1/(1+2...

Value of `1+1/(1+2)+1/(1+2+3)+....+1/(1+2+3+....+n)` is equal to

A

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

B

`(3n)/(2n+1)`

C

`(4n)/(3n+1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos
  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos
  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos
  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

1+1.1!+2.2!+3.3!+......n.n! is equal to

The value of (1 - 1/2) (1 - 1/3) (1 - 1/4)(1 - 1/5) ………(1 - 1/n) is :

Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal to a.3 b. 6/5 c. 3/2 d. none of these

The value of (6^(n+3) - 32.6^(n+1))/(6^(n+2) - 2.6^(n+1)) is equal to

If 1+(1+2)/(2)+(1+2+3)/(3)+.... to n terms is S.Then,s is equal to

The value of lim_(n rarr oo)(1^(2)*n+2^(2)*(n-1)+......+n^(2)*1)/(1^(3)+2^(3)+......+n^(3)) is equal to

The sum of the series 1+(1)/(2) ""^(n) C_1 + (1)/(3) ""^(n) C_(2) + ….+ (1)/(n+1) ""^(n) C_(n) is equal to

lim_(nto oo) {(1)/(n+1)+(1)/(n+2)+(1)/(n+3)+...+(1)/(n+n)} is, equal to

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. If 1/1^2+1/2^2+1/3^2....oo=pi^2/6 then 1/1^2+1/3^2+1/5^2....=

    Text Solution

    |

  2. The sum to infinity of the series 1+2(1-(1)/(n))+3(1-(1)/(n))^(2)+ ....

    Text Solution

    |

  3. Value of 1+1/(1+2)+1/(1+2+3)+....+1/(1+2+3+....+n) is equal to

    Text Solution

    |

  4. Sides of triangle ABC, a, b, c are in G.P. If 'r' be the common ratio ...

    Text Solution

    |

  5. If a ,b ,c in R^+, t h e n(b c)/(b+c)+(a c)/(a+c)+(a b)/(a+b) is alwa...

    Text Solution

    |

  6. If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx ,...

    Text Solution

    |

  7. Q. if x1,x2......xn are in H.P., then sum(r=1)^n xr x(r+1) is equal to...

    Text Solution

    |

  8. Given(1+x^2)^2 (1+x)^n = sum ar x^r. If a0,a1 and a2 are in A.P. then ...

    Text Solution

    |

  9. If a, b, c are distinct real numbers such that a, b, c are in A.P. and...

    Text Solution

    |

  10. Value of (1^2)/1+(1^2+2^2)/(1+2)+(1^2+2^2+3^2)/(1+2+3)+.... 'n' terms...

    Text Solution

    |

  11. If f(x)=x^9-6x-2x^7+12 x^6+x^4-7x^3+6x^2+x-3, find f(6)dot

    Text Solution

    |

  12. Let f(x)=(1)/(1+x) and let g(x,n)=f(f(f(….(x)))), then lim(nrarroo)g(x...

    Text Solution

    |

  13. lim(xrarr0^(+)){ln((x^(7)+2x^(6)e+x^(5)e^(2)))-ln(x^(2)sin^(3)x)} is e...

    Text Solution

    |

  14. A continuous, even periodic function f with period 8 is such that f(0)...

    Text Solution

    |

  15. The value of int(0)^(1)(Pi(i=1)^(n)(x+i))(Sigma(j=1)^(n)(1)/(x+j))dx i...

    Text Solution

    |

  16. If f is a continuous and differentiable funciton in x in (0, 1) such t...

    Text Solution

    |

  17. int(0)^(1)[(x)/(sinx)]dx equals to, ([.] denotes greatest integers fun...

    Text Solution

    |

  18. If area bounded by the curve x^(2)y+y^(2)x=alpha y is 2 units, then po...

    Text Solution

    |

  19. Let f(x)={{:(2^([x]),, x lt0),(2^([-x]),,x ge0):}, then the area bound...

    Text Solution

    |

  20. The degree and order of differntial equation of family of circle touch...

    Text Solution

    |