AHSME 1960 Problem 36

Let $s_1, s_2, s_3$ be the respective sums of $n, 2n, 3n$ terms of the same arithmetic progression with $a$ as the first term and $d$ as the common difference. Let $R=s_3-s_2-s_1$. Then $R$ is dependent on: $\textbf{(A)}\ a\text{ }\text{and}\text{ }d \textbf{(B)}\ d\text{ }\text{and}\text{ }n \textbf{(C)}\ a\text{ }\text{and}\text{ }n \textbf{(D)}\ a, d,\text{ }\text{and}\text{ }n \textbf{(E)}\ \text{neither} \text{ } a \text{ } \text{nor} \text{ } d \text{ } \text{nor} \text{ } n$