AHSME 1975 Problem 15

In the sequence of numbers $1, 3, 2, \ldots$ each term after the first two is equal to the term preceding it minus the term preceding that. The sum of the first one hundred terms of the sequence is $\textbf{(A)}\ 5 \textbf{(B)}\ 4 \textbf{(C)}\ 2 \textbf{(D)}\ 1 \textbf{(E)}\ -1$