Answer
The sequence is geometric.
Work Step by Step
$r=\frac{50}{200}=\frac{1}{4}$
$r=\frac{12.5}{50}=\frac{1}{4}$
$r=\frac{3.125}{12.5}=\frac{1}{4}$
There is a common ratio, $r = \frac{1}{4}$. So, the sequence is geometric.
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