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1960 AMC 12 Question 36

AMC12 · 1960 AMC 12

Question 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:
  1. $a$ and $d$
  2. $d$ and $n$
  3. $a$ and $n$
  4. $a,$ $d,$ and $n$
  5. neither $a$ nor $d$ nor $n$