smc

As this is an arithmetic sequence, the difference must be constant: $(5x-11)-(2x-3)=(3x+1)-(5x-11)$. This solves to $x=4$. The first three terms then are $5$, $9$, and $13$. In general, the $n$th term is $1+4n$. Solving $1+4n=2009$, we get $n=\boxed{502}$.