Home
Class 11
MATHS
Find the following sum : (1)/(n!) + (1...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND ITS APPLCIATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|103 Videos

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|27 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: sum_(n=1)^(11)(2+3^n)

Evaluate the following: sum_(n=2)^(10)4^n

Find the sum to n terms of 3 (3)/(8) + 2 (1)/(4) + 1 (1)/(2)+ .....

Find the sum of the following series : (1)/(4) + (1)/(2) + 1 + … to n terms

Find the sum Sigma_(n=1)^(oo)(3n^2+1)/((n^2-1)^3)

sum_(n=1)^(oo)(2 n^2+n+1)/((n!)) =

Find the sum of: 24 terms and n terms of 2 (1)/(2) , 3 (1)/(3) , 4 (1)/(6) ,5 ,......,

Find the sum: sum_(n=1)^(10){(1/2)^(n-1)+(1/5)^(n+1)}dot

Evaluate the following limit: (lim)_(n->oo)(1^3+2^3+ n^3)/((n-1)^4)

sum_(n=1)^(oo)((1)/(4n-3)-(1)/(4n-1))=(pi)/(n) find n

OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Chapter Test
  1. If the coefficients of x^2 and x^3 in the expansion of (3 + ax)^(9) be...

    Text Solution

    |

  2. If the integers r gt 1, n gt 2 and coefficients of (3r)th " and " (r +...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. The coefficient of x^(5) in the expansion of (x +3)^(6),is

    Text Solution

    |

  5. Coefficient of x^(n) in the expansion of ((1+x)^(n))/(1-x)

    Text Solution

    |

  6. The sum of the rational terms in the expansion of (2^(1//5) + sqrt(...

    Text Solution

    |

  7. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

    Text Solution

    |

  8. If the sum of the coefficients of the first, second, and third terms ...

    Text Solution

    |

  9. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

    Text Solution

    |

  10. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

    Text Solution

    |

  11. In the expansion of (x^3-1/(x^2))^n ,n in N , if the sum of the coeff...

    Text Solution

    |

  12. sum(k=1)^ook(1-1/n)^(k-1)=>? a.n(n-1) b. n(n+1) c. n^2 d. (n+1)^2

    Text Solution

    |

  13. The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. ...

    Text Solution

    |

  14. Find the interval of x, for which the expansion of (8 – 3x)^(3/2) in...

    Text Solution

    |

  15. If the coefficients of x^2 and x^3 in the expansion of (3 + ax)^(9) be...

    Text Solution

    |

  16. If x=1//3, find the greatest tem in the expansion of (1+4x)^8dot

    Text Solution

    |

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

    Text Solution

    |

  18. The coeffiicent of x^(n) in the binomial expansion of ( 1-x)^(-2) is

    Text Solution

    |

  19. The coefficient of x^6 in the expansion of (1+x+x^2)^(-3), is

    Text Solution

    |

  20. The sum sum(0 leq i)sum(leq j leq 10) (10Cj)(jCi) is equal to

    Text Solution

    |