Home
Class 12
MATHS
The coefficient of x^(101) in the expan...

The coefficient of ` x^(101)` in the expansion of
` (1 - x) (1- 2x) (1 - 2^(2) x) - (1 - 2^(101) x)` is

A

`2^(4950) - 2^(5050)`

B

`2^(5051) - 2^(5152)`

C

`2^(4950) - 2^(5051)`

D

`2^(5050) - 2^(5152)`

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - C) More than one option are correct|11 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - D) Linked Comprehension|12 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A) One option is correct|60 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

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

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

The coefficient of x^(n) in the expansion of ((1 + x)/(1-x))^(2), is

the coefficient of x^(r) in the expansion of (1 - 4x )^(-1//2) , is

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

The coefficient of x^(4) in the expansion of (1-x-2x^(2))^(8) is

Find the coefficient of x^(n) in the expansion of (1)/((1-x)(1-2x)(1-3x))

The coefficient of x^(5) in the expansion of (1+x^(2))(1+x)^(4) is

The coefficient of x^(4) in the expansion of (1+x-2x^(2))^(7) is :

AAKASH INSTITUTE-SEQUENCES AND SERIES -Assignment (SECTION - B) One option is correct
  1. If x,y, z and w are non-zero real numbers and x^(2) + 5y^(2) + 5z^...

    Text Solution

    |

  2. If x^(18)=y^(21)=z^(28), then 3,3 log(y)x,3log(z)y,7log(x)z are in

    Text Solution

    |

  3. The coefficient of x^(101) in the expansion of (1 - x) (1- 2x) (1 ...

    Text Solution

    |

  4. If a, b, c, are in A.P. ., p , q,r, are in H.P. and ap ,bq, cr are i...

    Text Solution

    |

  5. Let C be a circle with centre P(0) and AB be a diameter of C . supp...

    Text Solution

    |

  6. If 1,log9(3^(1-x)+2), log3(4*3^x-1) are in A.P then x equals to

    Text Solution

    |

  7. If b-c, 2b-x and b-a are in H.P., then a-(x/2), b-(x/2) and c-(x/2) ar...

    Text Solution

    |

  8. Let log(2) 3 = alpha , then log(64) 729 is

    Text Solution

    |

  9. sum(n=1)^(oo) (""^(n)C(0) + ""^(n)C(1) + .......""^(n)C(n))/(n!) is eq...

    Text Solution

    |

  10. sum(n=1)^(oo) ((Inx)^(n))/(n!) is equal to

    Text Solution

    |

  11. The sum of sum(n=1)^(oo) ""^(n)C(2) . (3^(n-2))/(n!) equal

    Text Solution

    |

  12. The coefficient of x^(4) "in" (1 - 3x + x^(2))/(e^(x)) equals

    Text Solution

    |

  13. The sum of the series (2)/(1!) + (4)/(3!) + (6)/(5!) + ……. "to" oo ...

    Text Solution

    |

  14. the value of 2/(1!)+ (2+4)/(2!) + (2+4+6)/(3!) +.................. ...

    Text Solution

    |

  15. ((1 )/(2!) + (1)/(4!) + (1)/(6!) + ......)/((1)/(1!) + (1)/(3!) + (1)/...

    Text Solution

    |

  16. The sum of the series (a + b ) (a - b) + (a + b)(a-b)(a^(2) + b^(2)...

    Text Solution

    |

  17. The sum of the series ((a-b)/(a))+1/2((a-b)/(x))^(2)+1/3((a-b)/(a))^...

    Text Solution

    |

  18. The sum of the series 1/1.2-1/2.3+1/3.4-1/4.5+ ... is

    Text Solution

    |

  19. sum(n=0)^(oo) (n^(2) + n + 1)/((n +1)!) is equal to

    Text Solution

    |

  20. If x = (1)/(1.2) + (1)/(3.4) + (1)/(5.6) …….oo, and y = 1 - (1)/(2...

    Text Solution

    |