1960 AHSME 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\qquad \textbf{(B)}\ d\text{ }\text{and}\text{ }n\qquad \textbf{(C)}\ a\text{ }\text{and}\text{ }n\qquad \textbf{(D)}\ a, d,\text{ }\text{and}\text{ }n\qquad \textbf{(E)}\ \text{neither} \text{ } a \text{ } \text{nor} \text{ } d \text{ } \text{nor} \text{ } n

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