Home
Class 12
MATHS
The value of C(1)+4C(2)+7C(3)+ . . .+(...

The value of
`C_(1)+4C_(2)+7C_(3)+ . . .+(2n-2)C_(n)` is

A

`(3 n-4). 2^(n+1) `

B

`(3 n-4). 2^(n-1)+2 `

C

`(3 n-4). 2^(n) `

D

`(3 n-4). 2^(n-1)+1 `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|221 Videos

  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos

Similar Questions

Explore conceptually related problems

The value of C_(1)+4C_(2)+7C_(3)+ . . .+(3n-2)C_(n) is

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+ . . .+C_(n)x^(n) , then the value of : C_(1)+2C_(2)+3C_(3)+ . . .+nC_(n) is:

The value of C_(0)+3C_(1)+5C_(2)+7C_(3)+ . . .+(2n+1)C_(n) is:

If the value of C_(0) + 2C_(1) + 3C_(2) + ……. + (n+1) C_(n) =576 then n is :

If the value of C_(0)+2C_(1)+3C_(2)+ . . .+(n+1)C_(n)=576 , then n is

C_(0)-C_(1)+C_(2)-C_(3)+ . . .+(-1)^(n)C_(n) is equal to

The value of ""^(10) C_(2) + ""^(10) C_(3) + … + ""^(10) C_(9) is

If C_(0),C_(1),C_(2), . . . .,C_(n) are binomial coefficients of order n, then the value of (C_(1))/(2)+(C_(2))/(4)+(C_(3))/(6)+ . . .=

The value of sum_(r=1)^(10)r(n C_(r))/(n C_(r-1)) =

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. If (1+2 x+x^(2))^(n)=sum(r=0)^(2 n) a(r) x^(r), then a(r) =

    Text Solution

    |

  2. (C(0))/(1)-(C(1))/(2)+(C(2))/(3)+.. . .+((-1)^(n))/(n+1). C(n) =

    Text Solution

    |

  3. The value of C(1)+4C(2)+7C(3)+ . . .+(2n-2)C(n) is

    Text Solution

    |

  4. If T, denotes the r^(th) term in the expansion of (x+(1)/(y))^(23)...

    Text Solution

    |

  5. If C(0), C(2), C(4).. . are the binomial coefficients in the expansi...

    Text Solution

    |

  6. The largest term in the expansion of (3+2x)^(50) where x=1/5 is:

    Text Solution

    |

  7. If (1+x+x^(2))^(n) = sum(r=0)^(2 n) a(r). x^(r) then a(1)-2 a(2)+3 a...

    Text Solution

    |

  8. If C(n) is the coefficient of x^(n) in the expansion of (1+x)^(n) ...

    Text Solution

    |

  9. Term independent of x in (2 x^(2)+(3)/(x^(3)))^(15) is

    Text Solution

    |

  10. The coefficients of the middle term in the expansion of (1+x)^(40) is

    Text Solution

    |

  11. The term independent of x in the expansion of (x^(2)-(1)/(x))^(6) ...

    Text Solution

    |

  12. The coefficients of x^(-n) in (1+x)^(n)(1+(1)/(x))^(n) is

    Text Solution

    |

  13. The sum of the coefficients in the expansion of (1+x-3 x^(2))^(171) i...

    Text Solution

    |

  14. If (1+x)^(n) = C(0)+C(1).x+C(2). x^(2)+..+C(n). x^(n) then C(0)+2. ...

    Text Solution

    |

  15. In the expansion of (1+x)^(n) the coefficients of pth and (p+1)^(t...

    Text Solution

    |

  16. The coefficient of x^(5) in the expansion of (x^(2)-x-2)^(5) is

    Text Solution

    |

  17. The first three terms in the expansion of (1+a x)^(n ne 0) are 1,6 x...

    Text Solution

    |

  18. The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

    Text Solution

    |

  19. The coeffient of the middle term in the binomial expansion in powers o...

    Text Solution

    |

  20. The number of integral terms in the expansion of (sqrt(3)+root(8)(5))^...

    Text Solution

    |