Home
Class 12
MATHS
Coefficient of x^(99) in the expansion o...

Coefficient of `x^(99)` in the expansion of (x-1) (x-3)(x-5)..(x-1999) is

A

`-100`

B

`-1000`

C

`-10000`

D

`-100000`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES LEVEL-2 (Single Correct Answer Type Questions)|11 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES CONCEPT-BASED (Single Correct Answer Type Questions)|15 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(3) in the expansion of 3^(x) is

Coefficient of x^(5) in the expansion of (3x)/((x-1)^(2)(x+2)) is

The coefficient of x^(4) in the expansion of (1-x)^(-2) is

The coefficient of x^(-17) in the expansion of (x^(4)-(1)/(x^(3)))^(15) is

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

If |x|<1, the coefficient of x^(3) in the expansion of is (1)/(e^(x)*(1+x)) is

MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
  1. If S(n)=81+54+36+24+.. upto n terms, then value of x=(S(n)-4S(n-1)+6S(...

    Text Solution

    |

  2. The sum of first 'n' terms of the series 1^2+(1)(2)+3^2+(3)(4)+5^2+(5)...

    Text Solution

    |

  3. If L = underset( n rarr oo)lim (1+3^(-1))(1+3^(-2))+(1+3^(-4))+(1+3^(-...

    Text Solution

    |

  4. If a1,a2,a3,.......an, are 'n', distinct odd natural numbers, not divi...

    Text Solution

    |

  5. Coefficient of x^(99) in the expansion of (x-1) (x-3)(x-5)..(x-1999) i...

    Text Solution

    |

  6. Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + .......

    Text Solution

    |

  7. If x= overset(oo)underset(n =0)Sigma a^(n),y= overset(oo)underset(n=0)...

    Text Solution

    |

  8. If the sum of an infinite decreasing G.P. is 3 and sum of the cubes of...

    Text Solution

    |

  9. The sum of the series S= overset(n)underset(r=1)Sigma log ((a^(r+1))/(...

    Text Solution

    |

  10. If the fifth term of a G.P. is 2, then write the product of its 9 t...

    Text Solution

    |

  11. If s is the sum to infnity of a G.P, whose first term is a, then the s...

    Text Solution

    |

  12. For a sequence lt a(n) gt, a(1) =5 and (a(r+1))/(a(r))=(1)/(2) AA r, t...

    Text Solution

    |

  13. If the H.M.of two numbers is to their GM. is 12:13 then the numbers ar...

    Text Solution

    |

  14. The H.M. between two numbers is 16/5, their A.M. is A and G.M. is G. I...

    Text Solution

    |

  15. If a(r)=a+(r-1)d is rth term of an A.P., then a(n)^(2)-2a(n-1)^(2)+a(n...

    Text Solution

    |

  16. If A=1+r^2+r^(2a)+...oo=a and B=1+r^b+r^(2b)+...oo=b then a/b is equal...

    Text Solution

    |

  17. Suppose a(1)=45, a(2)=41 and a(k)=2a(k-1)-a(k-2) AA k ge 3, then, valu...

    Text Solution

    |

  18. Suppose P(x)=1-x+x^(2)-x^(3)+…+x^(2012) is expressed as a polynomial i...

    Text Solution

    |

  19. The sum of first 26 terms of an A.P. a(1),a(2),a(3),.. if a(2)+a(6)+a(...

    Text Solution

    |

  20. In the sum of first n terms of an A.P. is cn^2, then the sum of square...

    Text Solution

    |