Answer
Arithmetic; Common difference = $-\frac{1}{16}$
Work Step by Step
$\frac{15}{16} - 1=-\frac{1}{16}$
$\frac{7}{8} - \frac{15}{16}=-\frac{1}{16}$
(We're going to see if the first terms have the same common difference. If they do, then it's an arithmetic sequence.)