If \(a_{1}, a_{2}, a_{3}, \ldots, a_{n}\) are in A.P., where \(a_{i}>0\) for all \(i\), show that \(1 /\left(\sqrt{a}_{1}+\sqrt{a}_{2}\right)+1 /\left(\sqrt{a}_{2}+\sqrt{a}_{3}\right)+\ldots . .+1 /\left(\sqrt{a}_{n-1}+\sqrt{a}_{n}\right)=(n-1) /\left(\sqrt{a}_{1}+\sqrt{a}_{n}\right)\)