Answer
See below.
Work Step by Step
An infinite geometric series converges if and only if $|r|\lt1$, where $r$ is the common ratio. If it converges, then it equals $\frac{a_1}{1-r}$ where $a_1$ is the first term.
Here $r=-0.25$, thus $|-0.25|\lt1$, thus it converges
Hence the sum: $\dfrac{256}{1-(-0.25)}=204.8$
