Question

Find the middle term: ${[x+\frac{1}{x}]}^{2n}$

Answer 1

Since $2n$ is an even number, then the middle term in the binomial expansion ${[x+\frac{1}{x}]}^{2n}$ is the $\frac{2n}{2}+1=n+1$ th term.

The term is ${}^{2n}{C}_n$