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The middle term in the expansion of ((2x...

The middle term in the expansion of `((2x)/3-3/(2x^2))^(2n)` is a. `\ ^(2n)C_n` b. `(-1)^n\ ^(2n)C_(n\ )x^(-n)` c. `\ ^(2n)C_n x^(-n)` d. none of these

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`n` is even
Middle term in the given expansion `=(frac{2 n}{2}+1)` th `=(n+1)` th term
`=\ ^{2 n} C_{n}(frac{2 x}{3})^{2 n-n}(frac{-3}{2 x^{2}})^{n} `
`=(-1)^{n 2} n C_{n} x^{-n}`
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