defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Sequences and Series Arithmetic Progressions
Sum of \(\frac{1}{\sqrt{2}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{8}}+\frac{1}{\sqrt{8}+\sqrt{11}}\) + \(\frac{1}{\sqrt{11}+\sqrt{14}}+\ldots\) to n terms =
1
\(\frac{n}{(\sqrt{3 n+2}-\sqrt{2})}\)
2
\(\frac{1}{3}(\sqrt{2}-\sqrt{3 n+2})\)
3
\(\frac{n}{\sqrt{3 n+2}+\sqrt{2}}\)
4
none of these