Answer
(a) $2, \frac{1}{2}, 2, \frac{1}{2}, 2, \frac{1}{2}, 2, \frac{1}{2}, 2, \frac{1}{2}$
(b) See graph.
Work Step by Step
(a) Given $a_1=2$ and $a_n=\frac{1}{a_{n-1}}$, we have $a_2=\frac{1}{a_1}=\frac{1}{2}$, $a_3=\frac{1}{a_2}=2$, ... and so on. We can list the first ten terms as $2, \frac{1}{2}, 2, \frac{1}{2}, 2, \frac{1}{2}, 2, \frac{1}{2}, 2, \frac{1}{2}$
(b) See graph.
