Home
Class 12
MATHS
Find the sum of the last 30 coefficients...

Find the sum of the last 30 coefficients in the expansion of `(1+x)^(59),` when expanded in ascending powers of `xdot`

A

`2^(29)`

B

`2^(28)`

C

`.^(60)C_(30) - 2^(19)`

D

`2^(58)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Let S be the sum of the last 24 coefficients in the expansion of (1 + x)^(47) when expanded in ascending powers of x, then (S-2^(44))/(2^(44)) =____

If sum of the last 30 coefficients in the expansion of (1+x)^59, when expanded in ascending power of 'x' is 2^n then number of divisors of 'n' of the form 4lambda+ 2(lambda in N) is (A)1 (B)0 (C)2 (D) 4

The sum of the last eitht coefficients in the expansion of (1 + x)^(15) , is

Find the sum of the coefficients in the expansion of (7+4x)^(49)

What is the sum of the coefficients in the expansion of (1+x)^(n) ?

What is the sum of the binomial coefficients in the expansion of (1+x)^(50)

What is the sum of all the coefficients in the expansion of (1+x)^(n) ?

RESONANCE-DPP-QUESTION
  1. STATEMENT - 1 : If n is even, .^(2n)C(1)+.^(2n)C(3)+.^(2n)C(5)+"….."+....

    Text Solution

    |

  2. For some natural number N, the number of positive integral 'x' satis...

    Text Solution

    |

  3. Find the sum of the last 30 coefficients in the expansion of (1+x)^(59...

    Text Solution

    |

  4. Coefficient of x^(48) in sum(r=0)^(50)""^(50)C(r).(x-2)^(x).3^(50-r) i...

    Text Solution

    |

  5. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

    Text Solution

    |

  6. |x^(2)-4x+4|ge 1

    Text Solution

    |

  7. Solve the following inequation (i) (3)/(x-2) lt 1 , (ii) (2x-1)/(x^(...

    Text Solution

    |

  8. If sum(i=1)^(7) i^(2)x(i) = 1 and sum(i=1)^(7)(i+1)^(2) x(i) = 12 and ...

    Text Solution

    |

  9. Circles with centres P,Q& S are touching each other externally as show...

    Text Solution

    |

  10. The value of (P-Q) is equal to

    Text Solution

    |

  11. The value of (P-R) is equal to

    Text Solution

    |

  12. The value of (Q+R) is equal to

    Text Solution

    |

  13. The sum sum(r=0)^(n) (r+1)C(r)^(2) is equal to :

    Text Solution

    |

  14. In the binomial expansion of (a-b)^nngeq5, the sum of the 5th and 6th ...

    Text Solution

    |

  15. Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...

    Text Solution

    |

  16. Let P = sum(r=1)^(50)(""^(50+r)C(r)(2r-1))/(""^(50)C(r)(50+r)), Q = su...

    Text Solution

    |

  17. Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...

    Text Solution

    |

  18. If sum(r=0)^(n) (-1)^(r ).""^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(2r))+(7^(...

    Text Solution

    |

  19. Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...

    Text Solution

    |

  20. The figure shows a rectangle ABCD with a semi-circle and a circle insc...

    Text Solution

    |