Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.1 Sequences - 12.1 Assess Your Understanding - Page 807: 17

$a_1=\frac{1}{3}$ $a_2=\frac{1}{2}$ $a_3=\frac{3}{5}$ $a_4=\frac{2}{3}$ $a_5=\frac{5}{7}$

If $\{a_n\}=\left\{\frac{n}{n+2}\right\}$ then $a_1=\frac{1}{1+2}=\frac{1}{3}$ $a_2=\frac{2}{2+2}=\frac{1}{2}$ $a_3=\frac{3}{3+2}=\frac{3}{5}$ $a_4=\frac{4}{4+2}=\frac{2}{3}$ $a_5=\frac{5}{5+2}=\frac{5}{7}$