Home
Class 11
MATHS
Find n , if the ratio of the fifth term...

Find `n ,` if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of `(root(4)2 +1/(root(4)3 ))^n` is `sqrt(6): 1.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

If the ratio of the 7th term from the beginning to the 7th term from the end in the expansion of (sqrt2+(1)/(sqrt3))^x is 1/6 , then x is

Find the 4th term from the beginning and 4^(th) term from the end in the expansion of (x+2/x)^9

Find the 4th term from the end in the expansion of (1-3x)^(10)

Find the 4th term from the end in the expansion of (1-3x)^(10)

Find the 4th term from the end in the expansion of ((4x)/5-5/(2x))^9dot

Find the r^(t h) term from the end in the expansion of (x+a)^n .

Find the 4th term from the end in the expansion of ((x)/(2)-(4)/(x))^(15)

Find the 4th term from the end in the expansion of ((x)/(2)-(4)/(x))^(15)

Find the (n+1)th term from the end in the expansion of (2x - (1)/(x))^(3n)

Ratio of the 5^(th) term from the beginning to the 5^(th) term from the end in the binomial expansion of (2^(1//3)+(1)/(2(3)^(1//3)))^(10) is

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the 6th term in expansion of (2x^2-1//3x^2)^(10)dot

    Text Solution

    |

  2. Find a if the 7th and 18th terms of the expansion (2+a)^(50) are equal...

    Text Solution

    |

  3. Find n , if the ratio of the fifth term from the beginning to the ...

    Text Solution

    |

  4. Simplify: x^5+10 x^4a+40 x^3a^2+80 x^2a^3+80 x a^4+32 a^5dot

    Text Solution

    |

  5. Find the value of (18^3+7^3+3xx18xx7xx25) /(3^6+6xx243xx2+15xx18xx4+20...

    Text Solution

    |

  6. Find the approximation of (0. 99)^5 using the first three terms of its...

    Text Solution

    |

  7. If for n in N ,sum(k=0)^(2n)(-1)^k(^(2n)Ck)^2=A , then find the value...

    Text Solution

    |

  8. There are two bags each of which contains n balls. A man has to sele...

    Text Solution

    |

  9. Find the sum sum(i=0)^r.^(n1)C(r-i) .^(n2)Ci .

    Text Solution

    |

  10. Prove that sum(r=0)^(2n)(r. ^(2n)Cr)^2=n^(4n)C(2n) .

    Text Solution

    |

  11. If k a n d n are positive integers and sk=1^k+2^k+3^k++n^k , then prov...

    Text Solution

    |

  12. Prove that sum(r=1)^n(-1)^(r-1)(1+1/2+1/3++1/r)^n Cr=1/n .

    Text Solution

    |

  13. Prove that (C1)/1-(C2)/2+(C3)/3-(C4)/4++((-1)^(n-1))/n Cn=1+1/2+1/3++1...

    Text Solution

    |

  14. Prove that sum(r=0)^n^n Crsinr xcos(n-r)x=2^(n-1)sin(n x)dot

    Text Solution

    |

  15. Find the last two digits of the number (23)^(14)dot

    Text Solution

    |

  16. Find the last two digits of the number 27^(27)dot

    Text Solution

    |

  17. Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(...

    Text Solution

    |

  18. Find the value of (sqrt(2)+1)^6-(sqrt(2)-1)^6dot

    Text Solution

    |

  19. Using binomial theorem (without using the formula for .^n Cr) , prove ...

    Text Solution

    |

  20. Prove that .(r+1)*^n Cr-r*^n Cr+ ... +(-1)^r.^n Cr=(-1)^r.^(n-2)Crdot

    Text Solution

    |