Answer
The sequence is geometric.
Work Step by Step
The given sequence is
$1024,128,16,2,...$
Calculate ratio between each pair of consecutive terms.
$\frac{128}{1024}=\frac{1}{8}$
$\frac{16}{128}=\frac{1}{8}$
$\frac{2}{16}=\frac{1}{8}$
Consecutive terms have a common ratio of $\frac{1}{8}$.
So, the sequence is geometric.
