How can I compute the ratio of a geometric series given a partial sum?
Basically solve for $r$:
$$ S = \sum_{k = 0}^{n} a\,r^k = a \frac{1-r^{n+1}}{1-r}$$
given $S$, $a$ and $n$
I found this post, but it just reduces the problem to the case $a=1$, and doensn't provide a solution for this one.
2026-03-25 16:02:12.1774454532
Find the ratio of a geometric series given a partial sum
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