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Write the coefficient of the middle term...

Write the coefficient of the middle term in the expansion of `(1+x)^(2n)`.

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Here, `n_{t} i`, e., `2 n`, is an even number.
`therefore` Middle term `=(frac{2 n}{2}+1)` th term `=(n+1)` th term
Thus, we have:
`T_{n+1}=\ ^{2 n} C_{n}(1)^{2 n-n}(x)^{n}`
`=\ ^{2 n} C_{n} x^{n}`
Hence, the coefficient of the middle term is `\ ^{2 n} C_{n}`
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