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1976 AMC 12 Question 4

AMC12 · 1976 AMC 12

Question 4

Let a geometric progression with $n$ terms have first term one, common ratio $r$ and sum $s,$ where $r$ and $s$ are not zero. The sum of the geometric progression formed by replacing each term of the original progression by its reciprocal is
  1. $\frac1s$
  2. $\frac1{r^ns}$
  3. $\frac{s}{r^{n-1}}$
  4. $\frac{r^n}{s}$
  5. $\frac{r^{n-1}}s$