smc

$3p-q$ and $3p+q$ are consecutive terms, so the common difference is $(3p+q)-(3p-q)=2q$. $$\begin{array}{rl}p+2q& =9\\ 9+2q& =3p-q\\ q& =2\\ p& =5\end{array}$$ The common difference is $4$. The first term is $5$ and the $2010^{\text{th}}$ term is $$5+4(2009)=\boxed{8041}$$