Home
Class 12
MATHS
If an=sum(r=0)^n1/(^n Cr) , then sum(r=0...

If `a_n=sum_(r=0)^n1/(^n C_r)` , then `sum_(r=0)^n r/(^n C_r)` equals `(n-1)a_n` b. `n a_n` c. `(1//2)n a_n` d. none of these

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If a_n=sum_(r=0)^n1/(nC_r), then sum_(r=0)^n r/(nC_r) equals

Find the sum sum_(r=0)^n^(n+r)C_r .

Find the sum sum_(r=0)^n^(n+r)C_r .

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

sum_(r=0)^m .^(n+r)C_n is equal to

The value of sum_(r=0)^(n-1)^n C_r//(^n C_r+^n C_(r+1)) equals a. n+1 b. n//2 c. n+2 d. none of these

If a_n = n (n!) , then sum_(r=1)^100 a_r is equal to

sum_(r=1)^(n) r^(2)-sum_(r=1)^(n) sum_(r=1)^(n) is equal to

Find the sum of sum_(r=1)^n(r^n C_r)/(^n C_(r-1) .

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Find the sum of the following infinite series 1/2(1/5)^2+2/3(1/5)^3...

    Text Solution

    |

  2. The centre of a circle passing through (0,0), (1,0) and touching the C...

    Text Solution

    |

  3. If an=sum(r=0)^n1/(^n Cr) , then sum(r=0)^n r/(^n Cr) equals (n-1)an b...

    Text Solution

    |

  4. Prove that :(log)e((x+1)/x)=2[1/((2x+1))+1/(3(2x+1)^3)+1/(5(2x+1)^5)+]

    Text Solution

    |

  5. Two aeroplanes I and II bomb a target in succession. The probabilitie...

    Text Solution

    |

  6. The lines 3x+4y=9&4x-3y+12=0 intersect at Pdot The first line intersec...

    Text Solution

    |

  7. If alpha,beta are the roots of the equation x^2-p x+q=0, prove that (l...

    Text Solution

    |

  8. A bag initially contains 1 red and 2 blue balls. An experiment consi...

    Text Solution

    |

  9. If the circles x^2+y^2-2x-2y-7=0 and x^2+y^2+4x+2y+k=0 cut orthogonall...

    Text Solution

    |

  10. The length of transverse common tangent of the circles x^2+y^2=1and(x-...

    Text Solution

    |

  11. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

    Text Solution

    |

  12. The area of the region given by x^2+y^2-6y<=0&y<=x is (9pi-9)/4 b. ...

    Text Solution

    |

  13. Let f(x) be a differentiable function and f(a)=f(b)=0 (alpha ltbeta), ...

    Text Solution

    |

  14. A determinant is chosen at random from the set of the determinants of ...

    Text Solution

    |

  15. Let vec a=2 hati+hat j+ hat k , vec b=hat i+2hat j- hatk and a unit v...

    Text Solution

    |

  16. A die is rolled 4 times. The probability of getting a larger number ...

    Text Solution

    |

  17. If (d)/(dx)((1+x^2+x^4)/(1+x+x^2)) = a+bx , find the values of a and ...

    Text Solution

    |

  18. There are 4 urns. The first urn contains 1 white and 1 black ball, the...

    Text Solution

    |

  19. The number of ways in which 5 X's can be placed in the squares of the ...

    Text Solution

    |

  20. If S be the sum, p the product and R the sum of the reciprocals of n t...

    Text Solution

    |