Answer
The common ratio is $r=\frac{1}{6}$.
Work Step by Step
The given sequence is
$36,6,1,\frac{1}{6},...$
Calculate the ratio between each pair of consecutive terms.
$\frac{6}{36}=\frac{1}{6}$
$\frac{1}{6}=\frac{1}{6}$
$\frac{1/6}{1}=\frac{1}{6}$
Hence, the common ratio is $r=\frac{1}{6}$.
