AMC 12 2008b Problem 12

For each positive integer $n$, the mean of the first $n$ terms of a sequence is $n$. What is the $2008$th term of the sequence?

\textbf{(A)}\ 2008 \textbf{(B)}\ 4015 \textbf{(C)}\ 4016 \textbf{(D)}\ 4030056 \textbf{(E)}\ 4032064