Answer
$\displaystyle \frac{2}{3},\ 1,\ \displaystyle \frac{6}{5}$, $\displaystyle \frac{4}{3}$, $\displaystyle \frac{10}{7}$, $\displaystyle \frac{3}{2}$
Work Step by Step
$a_{1}=\displaystyle \frac{2(1)}{1+2}=\frac{2}{3}$
$a_{2}=\displaystyle \frac{2(2)}{2+2}=\frac{4}{4}=1$
$a_{3}=\displaystyle \frac{2(3)}{3+2}=\frac{6}{5}$
$a_{4}=\displaystyle \frac{2(4)}{4+2}=\frac{8}{6}=\frac{4}{3}$
$a_{5}=\displaystyle \frac{2(5)}{5+2}=\frac{10}{7}$
$a_{6}=\displaystyle \frac{2(6)}{6+2}=\frac{12}{8}=\frac{3}{2}$
