Home
Class 12
MATHS
The sum of the series (1)/(1xx2)""^(25)...

The sum of the series `(1)/(1xx2)""^(25)C_(0)+(1)/(2xx3)""^(25)C_(1)+(1)/(3xx4)""^(25)C_(2)+…….+(1)/(26+27)""^(25)C_(25)`

A

`(2^(27)-1)/(26xx27)`

B

`(2^(27)-28)/(26xx27)`

C

`(1)/(2)((2^(26)+1)/(26xx27))`

D

`(2^(26)-1)/(52)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2012

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

(1)/(1xx2)""^(25)C_(0)+(1)/(2xx3)""^(25)C_(1)+(1)/(3xx4)""^(25)C_(2)+…+(1)/(26xx27)""^(25)C_(25) is -

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-

The sum of the series 1/(1x2) *(25)C0+1/(2x3) *25C_1+1/(3x4) *25C2+....+1/(26x27)* 25C_25

Find the sum to n terms of each of the series in 1/(1xx2)+1/(2xx3)+1/(3xx4)+.......

Find the sum to n terms of the series 1//(1xx2)+1//(2xx3)+1//(3xx4)+....+1//n(n+1)

Sum of the series 2C_0+C_1/2 2^2 +C_2/3 2^3+………+C_n/(n+1) 2^(n+1)

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+…+C_(n)x^(n) , show that, (2^(2).C_(0))/(1xx2)+(2^(3).C_(1))/(2xx3)+…+(2^(n+2).C_(n))/((n+1)(n+2))=(3^(n+2)-2n-5)/((n+1)(n+2))

Find the sum to n terms of each of the following series : (1)/(2.5) + (1)/(5.8) + (1)/(8.11)+…

Prove that .^(n)C_(0) - .^(n)C_(1) + .^(n)C_(2) - .^(n)C_(3) + "……" + (-1)^(r) .^(n)C_(r) + "……" = (-1)^(r ) xx .^(n-1)C_(r ) .

Find the sum 1 xx 2 xx .^(n)C_(1) + 2 xx 3 xx .^(n)C_(2) + "….." + n xx (n+1) xx .^(n)C_(n) .

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. Let n be a positive even integer. The ratio of the largest coefficient...

    Text Solution

    |

  2. Let exp (x) denote the exponential function e^(x). If f(x)=exp(x^((1)/...

    Text Solution

    |

  3. The sum of the series (1)/(1xx2)""^(25)C(0)+(1)/(2xx3)""^(25)C(1)+(1)...

    Text Solution

    |

  4. Five numbers are in A.P, with common difference ne 0. If the 1^(st), 3...

    Text Solution

    |

  5. The minimum value of the function f(x)=2|x-1|+|x-2| is

    Text Solution

    |

  6. If P, Q, R are angles of an isoseles triangle and angle P = (pi)/(2), ...

    Text Solution

    |

  7. A line passing through the point of intersection of x+y=4 and x-y=2 ma...

    Text Solution

    |

  8. Let [a] denote the greatest integer which is less than or equal to a. ...

    Text Solution

    |

  9. If P=((2,-2,-4),(-1.3,4),(1,-2,-3)), then P^(5) equals.

    Text Solution

    |

  10. If sin^(2)theta+3cos theta=2, then cos^(3)theta + sec^(3)theta is

    Text Solution

    |

  11. Let x=1+(1)/(2xx|ul(1))+(1)/(4xx|ul(2))+(1)/(8xx|ul(3))+……. and y=...

    Text Solution

    |

  12. The value of the infinite series (1^(2)+2^(2))/(|ul(3))+(1^(2)+2^(2)+3...

    Text Solution

    |

  13. The value of the integral int((pi)/(6))^((pi)/(3))((sin x-x cos x))/(x...

    Text Solution

    |

  14. Let f(x)=x((1)/(x-1)+(1)/(x)+(1)/(x+1)), x gt 1. Then

    Text Solution

    |

  15. Let F(x)=int(0)^(x)(cos t)/((1+t^(2)))dt, 0 le x le 2 pi. Then

    Text Solution

    |

  16. Find the area of the region bounded by the curve y = x^(2) and the lin...

    Text Solution

    |

  17. Let P be a point on the parabola y^(2)=4ax with focus F. Let Q denote ...

    Text Solution

    |

  18. An objective type test paper has 5 questions. Out of these 5 questions...

    Text Solution

    |

  19. A family of curves is such that the length intercepted on the y-axis b...

    Text Solution

    |

  20. The solution of the differential equation (y^(2)+2x)(dy)/(dx)=y satisf...

    Text Solution

    |