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  4. In the expansion of (a+b)n, if n is odd, then middle term(s) is/are

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Q. In the expansion of $(a+b)^n$, if $n$ is odd, then middle term(s) is/are

Binomial Theorem

Solution:

Regarding the middle term in the expansion $(a+b)^n$, we have if $n$ is odd, then $(n+1)$ is even, so there will be two middle terms in the expansion, namely $\left(\frac{n+1}{2}\right)^{\text {th }}$ term and $\left(\frac{n+1}{2}+1\right)^{\text {th }}$ term