Home
Class 12
MATHS
17. If the coefficients of 2nd, 3rd and ...

17. If the coefficients of 2nd, 3rd and 4th terms in the expansion of ` (1+x)^(2n)` are in A.P.. Show that `2n^2-9n+7=0`

A

`2n^(2)-9n+7=0`

B

`2n^(2)+5n+7=0`

C

`n^(2)-9n+7=0`

D

`n^(2)+9n-7=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-C) Objective type question (More than one correct answer)|15 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-D) Objective type question (Linked Comprehension Type Questions)|11 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-A)|50 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

If the coefficient of 2nd,3rd and 4th terms in the expansion of (1+x)^(2n) are in A.P.P.show that 2n^(2)-9n+7=0

If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n) are in A.P.then find the value of n.

If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n) are in A.P.then find the value of n.

n th term in the expansion of (x+(1)/(x))^(2n)

If the coefficient of pth,(p+1)thand(p+2)th terms in the expansion of (1+x)^(n) are in A.P

If the coefficient of pth,(p+1)thand(p+2)th terms in the expansion of (1+x)^(n) are in A.P

AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)
  1. The sum of the binomial coefficients of [2x+1/x]^n is equal to 256. Th...

    Text Solution

    |

  2. if sum of the coeficients in the expansion of (2x+3y-2z)^(n) is 2187 t...

    Text Solution

    |

  3. 17. If the coefficients of 2nd, 3rd and 4th terms in the expansion of ...

    Text Solution

    |

  4. underset(r=0)overset(n-1)(sum)(.^(n)C(r))/(.^(n)C(r)+.^(n)C(r+1)) equa...

    Text Solution

    |

  5. Find numerically the greatest term in the expansion of (3 - 5x)^(n...

    Text Solution

    |

  6. In the expansion of (y^(1//5)+x^(1//10))^55, the number of terms free ...

    Text Solution

    |

  7. Consider the following statements S(1): The total of terms in (x^(2)...

    Text Solution

    |

  8. If (1+x)^(n)=underset(r=0)overset(n)sumC(r).x^(r), then (1+(C(1))/(C...

    Text Solution

    |

  9. (C(1))/(C(0))+(2.C(2))/(C(1))+(3.C(3))/(C(2))+ . . .+(20.C(20))/(C(19)...

    Text Solution

    |

  10. Find the term independent of x in the expansion of (1+x+2x^3)[(3x^2//2...

    Text Solution

    |

  11. If in the expansion of (1+x)^m (1-x)^n, the coefficients of x and x^2 ...

    Text Solution

    |

  12. the value of x , for which the 6th term in the expansions of[2^log2sqr...

    Text Solution

    |

  13. If (1-x^(3))^(n)=underset(r=0)overset(n)(sum)a(r)x^(r)(1-x)^(3n-2r), t...

    Text Solution

    |

  14. Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x^k If a1, a2 and a3 are iun ...

    Text Solution

    |

  15. The coefficient of x^1007 in the expansion (1+x)^(2006)+x(1+x)^(2005)+...

    Text Solution

    |

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

    Text Solution

    |

  17. In the expansion of (x +a)^(n) the sum of even terms is E and that ...

    Text Solution

    |

  18. The sum of the last eight coefficients in the expansion of (1 + x)^16 ...

    Text Solution

    |

  19. Find the coefficient of x^3y^4z^5 in the expansion of (xy+yz+zx)^6

    Text Solution

    |

  20. In the expansion of (3x+2y-z)^(8), the coefficients of x^(2)y^(3)z^(3)...

    Text Solution

    |