Home
Class 12
MATHS
Find the 13^(t h)term in the expansion ...

Find the `13^(t h)`term in the expansion of `(9x-1/(3sqrt(x)))^(18),x!=0`

Text Solution

Verified by Experts

`13^(th)` term in the expansion of `(9x-(1)/(2sqrt(x)))^(18)` is given by
`T_(13)=.^(18)C_(12)(9x)^(18-12)(-(1)/(2sqrt(x)))^(12)`
`=(18xx17xx16xx15xx14xx13)/(6xx5xx4xx3xx2xx1).9^(6)x^(6)*(1)/(2^(12))*(1)/(x^(6))`
`=(2466417681)/(1024)=2408611(17)/(1024)`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Illustration|1 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|20 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

Similar Questions

Explore conceptually related problems

Find 13th term in the expansion of (9x-1/(3sqrtx))^(18),\ x!=0.

Find the 4^(t h) term in the expansion of (x-2y)^(12) .

Find the 4^(t h) term in the expansion of (x-2y)^(12) .

Find the 4^(t h) term in the expansion of (x-2y)^(12) .

The 13 th term in the expansion of (9x-1/(3sqrt(x)))^(18),x gt0 is (i) ""^(18)C_(12)x^(3) (ii) ""^(18)C_(12)x^(6) (iii) ""^(18)C_(12)1/(x^(6)) (iv) ""^(18)C_(12)

Find the 15th term in the expansion of "("sqrt(x)-sqrt(y)")"^(17)

Find the 15th term in the expansion of "("sqrt(x)-sqrt(y)")"^(17)

Find the middle term in the expansion of (3x-(x^3)/6)^9

Find the 15th term in the expansion of (2y-(x)/(2))^(18)

Find the 15th term in the expansion of (2y-(x)/(2))^(18)