Home
Class 11
MATHS
Find the sum of 1/(1!(n-1)!)+1/(3!(n-3)!...

Find the sum of `1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+ ...,`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

The sum of the series 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+…..+1/((n-1)!1!) is = (A) 1/(n!2^n) (B) 2^n/n! (C) 2^(n-1)/n! (D) 1/(n!2^(n-1)

Prove that (1)/(1!(n-1)!) + (1)/(3!(n-3)!)+ (1)/(5!(n-5)!) + …….= (2^(n-1))/(n!)

Find the sum of G.P. : 1-(1)/(3)+(1)/(3^(2))-(1)/(3^(3))+ . . . .. . . . . to n terms.

Find the sum of the series: (1)/((1xx3))+(1)/((3xx5))+(1)/((5xx7))+...+(1)/((2n-1)(2n+1))

Find the sum of the series: 1. n+2.(n-1)+3.(n-2)++(n-1). 2+n .1.

Find the sum of the series: 1. n+2.(n-1)+3.(n-2)++(n-1). 2+n .1.

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

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

Find the sum 1+1/(1+2)+1/(1+2+3)++1/(1+2+3++n)dot

Find the sum (1^4)/(1xx3)+(2^4)/(3xx5)+(3^4)/(5xx7)+......+(n^4)/((2n-1)(2n+1))

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...

    Text Solution

    |

  2. Find the sum .^(10)C1+^(10)C3+^(10)C5+^(10)C7+^(10)C9

    Text Solution

    |

  3. Find the sum of 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+ ...,

    Text Solution

    |

  4. If n is an even positive integer, then find the value of x if the gr...

    Text Solution

    |

  5. If |x|<1, then find the coefficient of x^n in the expansion of (1+2x+3...

    Text Solution

    |

  6. If (r+1)t h term is the first negative term in the expansion of (1+x)^...

    Text Solution

    |

  7. If |x|<1, then find the coefficient of x^n in the expansion of (1+x+x^...

    Text Solution

    |

  8. If |x|>1, then expand (1+x)^(-2)dot

    Text Solution

    |

  9. Find the cube root of 217, correct to two decimal places.

    Text Solution

    |

  10. Find the coefficient of x^2 in (a/(a+x))^(1//2)+(a/(a-x))^(1//2)

    Text Solution

    |

  11. Prove that ^10 C1(x-1)^2-^(10)C2(x-2)^2+^(10)C3(x-3)^2+-^(10)C(10)(x-1...

    Text Solution

    |

  12. If the third term in the expansion of (1+x)^mi s-1/8x^2, then find the...

    Text Solution

    |

  13. Prove that sum(r=0)^n r(n-r)(^nC r)^2=n^2(^(2n-2)Cn)dot

    Text Solution

    |

  14. Prove that 1-^n C1(1+x)/(1+n x)+^n C2(1+2x)/((1+n x)^2)-^n C3(1+3x)/((...

    Text Solution

    |

  15. Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

    Text Solution

    |

  16. The number of terms in the expansion of (a+b+c)^n , where n in Ndot

    Text Solution

    |

  17. Find the coefficient of x^(50) in the expansion of (1+x)^(101)xx(1-x+x...

    Text Solution

    |

  18. Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

    Text Solution

    |

  19. Find the coefficient of x^k in1+(1+x)+(1+x)^2++(1+x)^n(0lt=klt=n)dot

    Text Solution

    |

  20. Find the term independent of x in the expansion of (1+x+2x^3)[(3x^2//...

    Text Solution

    |