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 ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

Find the sum of last 20 coefficients in the expansions of (1+x)^(39).

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

The sum of the coefficient in the expansion of (1 + x+x^2)^n is

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

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

Find the sum of the coefficients in the expansion of (1+2x+3x^2+ n x^n)^2dot

Find the largest binomial coefficients in the expansion of (1+x)^19

Find the largest binomial coefficients in the expansion of (1 + x)^24

Statement-1:Sum of the coefficients of last 30 terms in the expansion of (1+x)^(49) . When expanded in ascending powers of x, is 2^(48) . Statement-2: P^(th) term from the end in the expansion of (x+y)^(n) is (n-P+2)^(th) term from the beginninig.

Find the greatest coefficient in the expansion of (1+2x//3)^(15)dot .

RESONANCE ENGLISH-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. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

    Text Solution

    |

  11. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

    Text Solution

    |

  12. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

    Text Solution

    |

  13. The sum sum(r=0)^(n) (r+1) (""^(n)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 = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

    Text Solution

    |

  16. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

    Text Solution

    |

  17. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

    Text Solution

    |

  18. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

    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

    |