## Precalculus: Mathematics for Calculus, 7th Edition

a. $0,\displaystyle \frac{1}{2},1,\frac{3}{2},2$ b. $\displaystyle \frac{1}{2}$ c. see below .
$a_{1}=\displaystyle \frac{1}{2}(1-1)=0$ $a_{2}=\displaystyle \frac{1}{2}(2-1)=\frac{1}{2}$ $a_{3}=\displaystyle \frac{1}{2}(3-1)=1$ $a_{4}=\displaystyle \frac{1}{2}(4-1)=\frac{3}{2}$ $a_{5}=\displaystyle \frac{1}{2}(5-1)=2$ (b) $\displaystyle \frac{1}{2}-0=\frac{1}{2}$ $1-\displaystyle \frac{1}{2}=\frac{1}{2}$ $\displaystyle \frac{3}{2}-1=\frac{1}{2}$ $2-\displaystyle \frac{3}{2}=\frac{1}{2}$ The common difference is $\displaystyle \frac{1}{2}$. (c) graphed using desmos.com