(7) Let $S_{n}$ be the sum of the first $n$ terms of the arithmetic sequence $\left\{a_{n}\right\}$, $S_{17}=170, a_{2000}=2001$, then
$$
S_{2008}=
$$
7 Since
$$
\begin{aligned}
S_{17} & =\frac{17\left(a_{1}+a_{17}\right)}{2} \\
& =\frac{17\left(a_{9}+a_{9}\right)}{2} \\
& =17 a_{9} \\
& =170,
\end{aligned}
$$

we can get $a_{9}=10$, then
$$
\begin{aligned}
S_{2008} & =\frac{2008\left(a_{1}+a_{2008}\right)}{2} \\
& =\frac{2008\left(a_{9}+a_{2000}\right)}{2} \\
& =\frac{2008 \times(10+2001)}{2} \\
& =1004 \times 2011
\end{aligned}
$$