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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`

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To find the 13th term in the expansion of \( (9x - \frac{1}{3\sqrt{x}})^{18} \), we will use the Binomial Theorem, which states that the general term \( T_{r+1} \) in the expansion of \( (a + b)^n \) is given by: \[ T_{r+1} = \binom{n}{r} a^{n-r} b^r \] ### Step-by-Step Solution: ...
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Knowledge Check

  • 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)

    A
    `""^(18)C_(12)x^(3)`
    B
    `""^(18)C_(6)x^(6)`
    C
    `""^(18)C_(12)1/(x^(6))`
    D
    `""^(18)C_(6)`
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