• # question_answer The sum of n terms of the series $\frac{1}{1+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{7}}+.........$ is   [UPSEAT 2002] A) $\sqrt{2n+1}$ B) $\frac{1}{2}\sqrt{2n+1}$ C) $\sqrt{2n+1}-1$ D) $\frac{1}{2}(\sqrt{2n+1}-1)$

Putting $n=1$ $s=\frac{1}{1+\sqrt{3}}=\frac{\sqrt{3}-1}{2}$ On checking, (d) is the correct option.