Let a1, a2, a3 ...... an be n positive consecutive terms of an arithmetic progression. If d > 0 is its common difference, then $\lim _{n \rightarrow \infty} \sqrt[1]{\frac{d}{n}}\left(\frac{1}{\sqrt{a_1}+\sqrt{a_2}}+\frac{1}{\sqrt{a_2}+\sqrt{a_3}}+\ldots \ldots+\frac{1}{\sqrt{a_{n-1}}+\sqrt{a_{n-2}}}\right)$