Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.1 Sequences - 12.1 Assess Your Understanding - Page 807: 18

$a_1=\frac{3}{2}$ $a_2=\frac{5}{4}$ $a_3=\frac{7}{6}$ $a_4=\frac{9}{8}$ $a_5=\frac{11}{10}$

If $\{a_n\}=\left\{\frac{2n+1}{2n}\right\}$ then $a_1=\frac{2(1)+1}{2(1)}=\frac{3}{2}$ $a_2=\frac{2(2)+1}{2(2)}=\frac{5}{4}$ $a_3=\frac{2(3)+1}{2(3)}=\frac{7}{6}$ $a_4=\frac{2(4)+1}{2(4)}=\frac{9}{8}$ $a_5=\frac{2(5)+1}{2(5)}=\frac{11}{10}$