Step-by-step explanation:
[tex]a_n = \frac{2n}{n + 6} \\ \\ a_1 = \frac{2 \times 1}{1 + 6} = \frac{2}{7} \\ \\ a_2 = \frac{2 \times 2}{2 + 6} = \frac{4}{8} = \frac{1}{2} \\ \\ a_3 = \frac{2 \times 3}{3 + 6} = \frac{6}{9} = \frac{2}{3} \\ \\ a_4 = \frac{2 \times 4}{4 + 6} = \frac{8}{10} = \frac{4}{5} \\ [/tex]
