Answer
Divergent
Work Step by Step
We can quickly identify this as a geometric series because when two successive terms are divided (i.e)
$$-9/8 /1 = (9/8)^2 / (-9.8$ = -9.8$$
We always get the same number.
However, since $-9/8$ has a bigger magnitude than 1, the series will always grow in magnitude, flipping from positive to negative. Thus, the series diverges.
