Answer
a) $32,29,26,23,20,17,14,11,8,5$
b) see graph
c) $185$
Work Step by Step
a) In order to find the first ten terms of the given sequence $a_n=35-3n$ put the graphing calculator in $\textit{sequence}$ mode and $\textit{dot}$ mode, enter the sequence ($35-3n$), then use the $\textit{table}$ feature to see the terms of the sequence. The first ten terms are:
$$\begin{align*}
a_1&=32\\
a_2&=29\\
a_3&=26\\
a_4&=23\\
a_5&=20\\
a_6&=17\\
a_7&=14\\
a_8&=11\\
a_9&=8\\
a_{10}&=5.
\end{align*}$$
b) We set the viewing window so that $0\leq n\leq 10$, $0\leq x\leq 11$ and $0\leq y\leq 35$. Graph the sequence and use the $\textit{trace}$ feature to view the terms.
c) With the $\textit{summation}$ feature we find the sum of the first ten terms of the sequence:
$$sum(seq(35-3n,n,1,10))=185.$$
