Mathematics - Sequence & Series Question with Solution | TestHub

Since, product of $n$ positive number is unity. $\Rightarrow x_1{x}_2{x}_3\dots \dots x_n=1$ Using A.M. $\ge$ GM $$\begin{array}{l}\Rightarrow \frac{x_1+x_2+\dots ..+x_n}{n}\ge {\left(x_1{x}_2\dots \dots x_n\right)}^{\frac{1}{n}}\\ \Rightarrow x_1+x_n+\dots \dots +x_n\ge n(1{)}^{\frac{1}{n}}\left[{\text{ From eq }}^{\mathrm{n}}(\mathrm{i})\right]\end{array}$$