Home
Class 12
MATHS
(1)/(n!) +(1)/(2!(n-2)!) +(1)/(4!(n-4)!)...

`(1)/(n!) +(1)/(2!(n-2)!) +(1)/(4!(n-4)!) +...` is equal to

A

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

B

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

C

`(2^(n))/(n !)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (4) (Assertion/Reason) |1 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (4) (TRUE AND FALSE) |11 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (3) (MULTIPLE CHOICE QUESTIONS) |12 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos

Similar Questions

Explore conceptually related problems

(1)/(n!)+(1)/(2!(n-2)!)+(1)/(4!(n-4)!) +….to n terms is equal to

Find the following sum: (1)/(n!)+(1)/(2!(n-2)!)+(1)/(4!(n-4)!)+...

Prove that (1)/(n!)+(1)/(2!(n-2)!)+(1)/(4!(n-4)!)+...=(1)/(n!)2^(n-1)

The value of lim_(nrarroo)((1)/(2n)+(1)/(2n+1)+(1)/(2n+2)+…..+(1)/(4n)) is equal to

If n-(1)/(n)=(1)/(4) then n+(1)/(n) is equal to:

Let S_n = 1 (n - 1) + 2. (n -2) + 3. (n - 3) +…+ (n -1).1, n ge 4. The sum sum_(n = 4)^oo ((2S_n)/(n!) - 1/((n - 2)!)) is equal to :

Let S_n = 1 (n - 1) + 2. (n -2) + 3. (n - 3) +…+ (n -1).1, n ge 4. The sum sum_(n = 4)^oo ((2S_n)/(n!) - 1/((n - 2)!)) is equal to :

lim_(n to oo)(1)/(n)(1+sqrt((n)/(n+1))+sqrt((n)/(n+2))+....+sqrt((n)/(4n-3))) is equal to:

Value of underset(ntoinfty)(lim)((n+1)^(1//3)+(n+2)^(1//3)+…+(2n)^(1//3))/(n^(4//3)) is equal to

ML KHANNA-BINOMIAL THEOREM AND MATHEMATICAL INDUCTION -Problem Set (4) (MULTIPLE CHOICE QUESTIONS)
  1. sum(r=1)^(n) r.""^(2n)C(r )=

    Text Solution

    |

  2. ""^(16)C(1)-2""^(16)C(2)+3""^(16)C(3)…. - 16""^(16)C(16)=

    Text Solution

    |

  3. (1)/(n!) +(1)/(2!(n-2)!) +(1)/(4!(n-4)!) +... is equal to

    Text Solution

    |

  4. sum(r=1)^(n//2) (1)/((2r-1)! (n+1-2r)!)=

    Text Solution

    |

  5. The value of ""^(14)C(1) +""^(14)C(3) +""^(14)C(5) + …+""^(14)C(11) is

    Text Solution

    |

  6. If A=C(0) -C(2) +C(4)… and B=C(1)-C(3)+C(5)… then (B)/(A)=

    Text Solution

    |

  7. In the expansion of ( 1+ x)^(50), the sum of the coefficient of odd po...

    Text Solution

    |

  8. Find the sum of the coefficients of all the integral powers of x in th...

    Text Solution

    |

  9. The value of ""^(13)C(2) +""^(13)C(3) +""^(13)C(4) +…+""^(13)C(13) is

    Text Solution

    |

  10. The sum of last ten coefficients in the expansion of (1+x)^(19) when ...

    Text Solution

    |

  11. If S=(1)/(2) ""^(10)C(0) -""^(10)C(1) +2""^(10)C(2)-2^(2)" "^(10)C(3)…...

    Text Solution

    |

  12. If (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r),(1 + (C(1))/(C(0))) (1 + (C(...

    Text Solution

    |

  13. Let (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r) and , (C(1))/(C(0)) + 2 (...

    Text Solution

    |

  14. The value of sum(r=1)^(10) r. (""^(n)C(r))/(""^(n)C(r-1) is equal to

    Text Solution

    |

  15. If P(n) denotes the product of the binomial coefficients in the expan...

    Text Solution

    |

  16. If C(0), C(1), C(2), ..., C(n) denote the binomial cefficients in t...

    Text Solution

    |

  17. If C(0), C(1), C(2), …. C(n) denote the coefficients in the expansion ...

    Text Solution

    |

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

    Text Solution

    |

  19. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+…+C(n)x^(n), then C(0)+5C(1)+9C(2)+...

    Text Solution

    |

  20. If (1+x)^(n)= sum(r=0)^(n)C(r )x^(r ) and sum(r =0)^(n) (C(r ))/(r+1)=...

    Text Solution

    |