Answer
a) $6,2,6,2,6,2,6,2,6,2$
b) See graph
Work Step by Step
a) We calculate the first ten terms of the sequence $a_n=4-2(-1)^n$:
$$\begin{align*}
a_1&=4-2(-1)^1=6\\
a_2&=4-2(-1)^2=2\\
a_3&=4-2(-1)^3=6\\
a_4&=4-2(-1)^4=2\\
a_5&=4-2(-1)^5=6\\
a_6&=4-2(-1)^6=2\\
a_7&=4-2(-1)^7=6\\
a_8&=4-2(-1)^8=2\\
a_9&=4-2(-1)^9=6\\
a_{10}&=4-2(-1)^{10}=2.
\end{align*}$$
b) Graph the first ten terms: