Mathematics · important

Two middle terms in \((x+a)^n\) for JEE

General term and middle term and simple applications

Formula

\[\text{For odd }n,\; T_{\frac{n+1}{2}}={n\choose \frac{n-1}{2}}x^{\frac{n+1}{2}}a^{\frac{n-1}{2}},\qquad T_{\frac{n+3}{2}}={n\choose \frac{n+1}{2}}x^{\frac{n-1}{2}}a^{\frac{n+1}{2}}\]

Variables: \(n\) is an odd positive integer.

Direct evaluation of two middle terms.

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