Home
Class 12
MATHS
In (3 3+1/(3 3))^n if the ratio of 7th t...

In `(3 3+1/(3 3))^n` if the ratio of 7th term from the beginning to the 7th term from the end is 1/6, then find the value of `ndot`

Text Solution

Verified by Experts

The correct Answer is:
`n = 9`
`1/6 = (.^(n)C_(6)(2^(1//3))^(n-6)(3^(-1//3))^(6))/(.^(n)C_(n-6)(2^(1//3))^(n-6)(3^(-1//3))^(n-6))`
`6^(-1) = 6^(-4) xx 6^(n//3)= 6^(n//3-4) rArr n/3 - 4 = - 1 rArr n = 9`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.2|10 Videos

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.3|7 Videos

  • BINOMIAL THEOREM

    CENGAGE|Exercise Comprehension|11 Videos

  • AREA UNDER CURVES

    CENGAGE|Exercise Question Bank|10 Videos

  • CIRCLE

    CENGAGE|Exercise MATRIX MATCH TYPE|6 Videos

Similar Questions

Explore conceptually related problems

In ( 2^(1/3)+1/3^(1/ 3))^n if the ratio of 7th term from the beginning to the 7th term from the end is 1/6, then find the value of ndot

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.

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

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

find the 10th term of the AP : 5,1,-3,7,……

Find the (i) 30th term of the AP 10,7,4,…. (ii) 11th term fo the AP: -3, -1/2, 2 …….

If the sum of n terms of an A.P. is 3n^(2) + 5n and its m^(th) term is 164, find the value of m .

If the 20th term of a H.P. is 1 and the 30th term is -1/17, then find its largest term.

Find the 20th term from the end of the AP:3, 8, 13, ..., 253.