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.

Promotional Banner

Topper's Solved these Questions

  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos

  • Application of dy/dx

    A DAS GUPTA|Exercise Exercise|45 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 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

A DAS GUPTA-Binomial Theorem for Positive Integrel Index-Exercise
  1. If a,b,c and d are any four consecutive coefficients in the expansi...

    Text Solution

    |

  2. If the four consecutive coefficients in any binomial expansion be a, b...

    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. If n be a positive integer then prove that the integral part P of (5+2...

    Text Solution

    |

  5. If (9+4sqrt5)^n=p+beta where n and p are positive integers and beta is...

    Text Solution

    |

  6. Integer just greater tehn (sqrt(3)+1)^(2n) is necessarily divisible by...

    Text Solution

    |

  7. The greatest coefficient in the expansion of (1+x)^(2n) is

    Text Solution

    |

  8. If x=1//3, find the greatest tem in the expansion of (1+4x)^8dot

    Text Solution

    |

  9. Find the numerically greatest term in the expansion of (3-2x)^9 when x...

    Text Solution

    |

  10. Find the value of the greatest term in the expansion of sqrt3(1+frac{1...

    Text Solution

    |

  11. In the expansion of (x+a)^15, if the eleventh term is the geometric me...

    Text Solution

    |

  12. In the expansion of (frac{3}{2}+frac{x}{3})^n when x=frac{1}{2} , it i...

    Text Solution

    |

  13. Prove that the greatest coefficient in the expansion of (1+x)^(2n) is...

    Text Solution

    |

  14. Find the sum : ""^(2n+1)C0+""^(2n+1)C1+""^(2n+1)C2+...+""^(2n+1)Cn.

    Text Solution

    |

  15. The sum of the series 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+…..+1/((n...

    Text Solution

    |

  16. Find the sum :1/2*""^(n)C0+""^(n)C1+2*""^(n)C2+2^2*""^nC3+...+2^(n-1)*...

    Text Solution

    |

  17. Prove that : (1+""^nC1+""^nC2+""^nC3+...+""^nCn)^2=1+""^(2n)C1+""^(2n)...

    Text Solution

    |

  18. If t0,t1, t2,...,tn are the terms in the expansion of (x+a)^n then pro...

    Text Solution

    |

  19. If (1+x-x^2)^10/(1+x^2)=a0+a1x+a2x^2+...+anx^n+… then find a0+a1+a2+….

    Text Solution

    |

  20. If (1+x-x^2)^10/(1+x^2)=a0+a1x+a2x^2+...+anx^n+… then find a0-a1+a2......

    Text Solution

    |