Home
Class 12
MATHS
If s(n)=sum(r=0)^(n)(1)/(""^(n)C(r)) and...

If `s_(n)=sum_(r=0)^(n)(1)/(""^(n)C_(r)) and t_(n)=sum_(r=0)^(n)(r)/(""^(n)C_(r))`, then `(t_(n))/(s_(n))` is equal to :

A

`n/2`

B

`n/2 - 1`

C

`n- 1`

D

`(2n-1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos
  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

If a_(n) = sum_(r=0)^(n) (1)/(""^(n)C_(r)) , find the value of sum_(r=0)^(n) (r)/(""^(n)C_(r))

If sum_(r=0)^(n) (r)/(""^(n)C_(r))= sum_(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C_(r)) , then

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then

If S_(n) = underset (r=0) overset( n) sum (1) /(""^(n) C_(r)) and T_(n) = underset(r=0) overset(n) sum (r )/(""^(n) C_(r)) then (t_(n))/(s_(n)) = ?

If S_n=sum_(r=0)^n 1/(nC_r) and t_n=sum_(r=0)^n r/(nC_r), then t_n/S_n=

Let n in N, S_n=sum_(r=0)^(3n)^(3n)C_r and T_n=sum_(r=0)^n^(3n)C_(3r) , then |S_n-3T_n| equals

If n in N, then sum_(r=0)^(n) (-1)^(n) (""^(n)C_(r))/(""^(r+2)C_(r)) is equal to .

If s_n=sum_(r < s) (1/(nC_r)+1/(nC_s)) and t_n=sum_(r < s)(r/(nC_r)+s/(nC_s)), then t_n/s_n=

sum_(r=0)^(n)(""^(n)C_(r))/(r+2) is equal to :

The value of sum_(r=0)^(2n)(-1)^(r)*(""^(2n)C_(r))^(2) is equal to :

RESONANCE ENGLISH-DPP-QUESTION
  1. A is a set containing n elements. A subset P of A is chosen. The set A...

    Text Solution

    |

  2. For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a(1)y+a(2)y^(2) + "...

    Text Solution

    |

  3. If s(n)=sum(r=0)^(n)(1)/(""^(n)C(r)) and t(n)=sum(r=0)^(n)(r)/(""^(n)C...

    Text Solution

    |

  4. If the equation x^(2) + ax + b = 0 has distinct real roots and x^(2...

    Text Solution

    |

  5. Statement - 1 sum(r=0)^(n) (r + 1) ""^(n)C(r) = (n+2)*2^(n-1) Stat...

    Text Solution

    |

  6. The number of ways in which four different letters can be put in their...

    Text Solution

    |

  7. Orthocentre of an acute triangle A B C is at the orogin and its circum...

    Text Solution

    |

  8. There are 720 permutations of the digits 1, 2, 3, ,4 ,5, 6. Suppose th...

    Text Solution

    |

  9. There are 10 questions, each question is either True or False. Number ...

    Text Solution

    |

  10. 5 Indian and 5 Russian couples meet at a party and shake hands. The ...

    Text Solution

    |

  11. The coefficient of x^4 in ((1+x)/(1-x))^2,|x|<1, is

    Text Solution

    |

  12. In the expansion of (x +y + z)^25

    Text Solution

    |

  13. If S (1), S (2) , S (3)……., S (2n) are the sums of infinite geometric ...

    Text Solution

    |

  14. The number of ways in which 8 distinguishable apples can be distribute...

    Text Solution

    |

  15. Distinct 3 digit numbers are formed using only the digits 1,2,3,4 wit...

    Text Solution

    |

  16. In equilateral triangle ABC with interior point D, if the perpendicula...

    Text Solution

    |

  17. An equilateral triangle has each of its sides of length 6 cm. If (x(1)...

    Text Solution

    |

  18. A line is drawn through the point (1, 2) to meet the coordinate axes ...

    Text Solution

    |

  19. Let (2,-1) be the point P and x- y + 1 =0 be the straight line l. If Q...

    Text Solution

    |

  20. Equation of the inclined at an angle of 45^(@) with positive x-axis an...

    Text Solution

    |