Answer
multiple answers; see details
Work Step by Step
Given that $
a_n=\dfrac{\sqrt{n}}{\sqrt{n}+1}
$, then,
\begin{array}{l}
a_1=\dfrac{\sqrt{1}}{\sqrt{1}+1}
=\dfrac{1}{2}
=0.5
,\\\\
a_2=\dfrac{\sqrt{2}}{\sqrt{2}+1}
\approx
0.5858
,\\\\
a_3=\dfrac{\sqrt{3}}{\sqrt{3}+1}
\approx
0.6340
,\\\\
a_4=\dfrac{\sqrt{4}}{\sqrt{4}+1}
\approx
0.6667
,\\\\
a_5=\dfrac{\sqrt{5}}{\sqrt{5}+1}
\approx
0.6910
.\end{array}
