Answer
Not a geometric sequence
Work Step by Step
Check if there is a common ratio by diving two consecutive terms:
$\dfrac{1/4}{1/2}$ $=\dfrac{1}{2}$;
$\dfrac{1/6}{1/4}$ $=\dfrac{2}{3}$ ;
$\dfrac{1/8}{1/6}$ $=\dfrac{3}{4}$.
The ratio is not constant so the sequence is not geometric.