Answer
The sequence is not geometric.
Work Step by Step
A geometric sequence has a common ratio $r$. The common ratio is multiplied to the current term to get the next term of the sequence.
The common ratio is equal to the the quotient of a term and the term before it.
Solve for the ratio of each pair of consecutive terms to obtain:
$\dfrac{\frac{1}{4}}{\frac{1}{2}} = \dfrac{1}{4} \cdot \dfrac{2}{1} =\dfrac{1}{2}
\\\dfrac{\frac{1}{6}}{\frac{1}{4}}=\dfrac{1}{6} \cdot \dfrac{4}{1} = \dfrac{4}{6} = \dfrac{2}{3}$
The ratios are different so there is no need to compute for the ratio of the next pair.
The sequence is not geometric.