Home
Class 12
MATHS
In the expansion of (frac{3}{2}+frac{x}{...

In the expansion of `(frac{3}{2}+frac{x}{3})^n` when `x=frac{1}{2}` , it is know that the 6th term is the greatest term. Find the possible positive integral values of n.

Text Solution

AI Generated Solution

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

In the expansion of (1/2 + 2x/3)^n when x=-1/2 ,it is known that 3^(rd) term is the greatest term Find the possible integral values of n .

Find the value of : (2frac{2}{3}).(2frac{1}{5})

2.Simplify 1frac{3}{4}xx2frac{2}{5}xx3frac{4}{7}

2.Simplify 1frac{3}{4}xx2frac{2}{5}xx3frac{4}{7}

Find the value of the greatest term in the expansion of sqrt3(1+frac{1}{sqrt3})^20 .

The coefficient of 5th, 6th and 7th terms in the expansion of (1+x)^n are in A.P. Find the value of n.

If the coefficient of the 5^(th) term be the numerically the greatest coefficient in the expansion of (1-x)^(n), then the positiveintegral value of n is

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

A DAS GUPTA-Binomial Theorem for Positive Integrel Index-Exercise
  1. Find the value of the greatest term in the expansion of sqrt3(1+frac{1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If (1+x-x^2)^10/(1+x^2)=a0+a1x+a2x^2+...+anx^n+… then find a0+a2+a4+…

    Text Solution

    |

  13. If (1+x-x^2)^10/(1+x^2)=a0+a1x+a2x^2+...+anx^n+… then find a1+a3+a5+…

    Text Solution

    |

  14. If (1+x-x^2)^n/(1+x^2)=a0+a1x+a2x^2+...+a(2n)x^(2n) then find a0+a1+a2...

    Text Solution

    |

  15. If (1+x-x^2)^n/(1+x^2)=a0+a1x+a2x^2+...+a(2n)x^(2n) then find a0-a1+a2...

    Text Solution

    |

  16. If (1+2x-x^2)^n/(1+x^2)=a0+a1x+a2x^2+...+a(2n)x^(2n) then find a0+a2+a...

    Text Solution

    |

  17. If (1+x-x^2)^n/(1+x^2)=a0+a1x+a2x^2+...+a(2n)x^(2n) then find a1+a3+a5...

    Text Solution

    |

  18. The sum of the binomial coefficients in the expansion of (x^2+1/x)^n i...

    Text Solution

    |

  19. The exponent of a binomial exceeds that of another by 3. the sum of th...

    Text Solution

    |

  20. Find the coefficient of x^3 in the expansion of 1+(1+x)+(1+x)^2+(1+x)^...

    Text Solution

    |