1975 AHSME 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 \qquad \textbf{(B)}\ 4 \qquad \textbf{(C)}\ 2 \qquad \textbf{(D)}\ 1 \qquad \textbf{(E)}\ -1

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.