Home
Class 12
MATHS
Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x...

Let `(1+x^2)^2*(1+x)^n=sum_(k=0)^(n+4)a_k*x^k` If `a_1, a_2 and a_3` are iun `AP` , find n.

A

2,3,4

B

5,6,7

C

8,9,10

D

`-1,4,6`

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

Let (1+x^2^2)^2(1+x)^n = sum _(k=0)^(n+4)a_k x^k. If a_1,a_2,a_3 are in rithmetic progression find n.

Let (1 + x^2)^2 (1 + x)^n = A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2, are in A.P. then the value of n is

Let (1 + x^2)^2 (1 + x)^n = A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2, are in A.P. then the value of n is

Let (1+x^2)^2 (1+x)^n= A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2,........ are in A.P. then the value of n is

If for n in I,n>10;1+(1+x)+(1+x)^(2)++(1+x)^(n)=sum_(k=0)^(n)a_(k)*x^(k),x!=0 then

If x,a_1,a_2,a_3,…..a_n epsilon R and (x-a_1+a_2)^2+(x-a_2+a_3)^2+…….+(x-a_(n-1)+a_n)^2le0 , then a_1,a_2,a_3………a_n are in (A) AP (B) GP (C) HP (D) none of these

If a_1,a_2, a_3………. are in H.P. and f(k) =sum_(r=1)^n a_r-a_k, the a_1/(f(1)), a_2/(f(2)), a_3/(f(3)), …….., a_n/(f(n)) are in (A) A.P. (B) G.P (C) H.P. (D) none of these

AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)
  1. the value of x , for which the 6th term in the expansions of[2^log2sqr...

    Text Solution

    |

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

    Text Solution

    |

  3. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If n is ann integer greater than 1, then a-^(n)C(1)(a-1)+.^(n)C(2)(a...

    Text Solution

    |

  11. (C(0))/(1)+(C(1))/(2)+(C(2))/(3)+ . . . .+(C(100))/(101) equals

    Text Solution

    |

  12. 2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?

    Text Solution

    |

  13. The coefficient of x^(n) in the polynomial (x+""^(2n+1)C(0))(X+""^(2n+...

    Text Solution

    |

  14. If C(r) stands for .^(n)C(r)=(n!)/(r!n-r!) and underset(r=1)overset(n)...

    Text Solution

    |

  15. If k=underset(r=0)overset(n)(sum)(1)/(.^(n)C(r)), then underset(r=0)ov...

    Text Solution

    |

  16. if x+y=1, then underset(r=0)overset(n)(sum)r^(2).^(n)C(r)x^(r)y^(n-r) ...

    Text Solution

    |

  17. underset(r=1)overset(n)(sum)r(.^(n)C(r)-.^(n)C(r-1)) is equal to

    Text Solution

    |

  18. The expression ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-...

    Text Solution

    |

  19. If underset(k=0)overset(n)(sum)(k^(2)+k+1)k! =(2007).2007!, then value...

    Text Solution

    |

  20. Let R=(5sqrt(5)+11)^(2n+1)a n df=R-[R]w h e r e[] denotes the greatest...

    Text Solution

    |