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