Determine If the Series Converges or Diverges; If the Series $$\sum _ { n = 0 } ^ { \infty } \frac { \sin \frac { ( n + 1 ) \pi } { 2 } } { 8 ^ { n } }$$

Multiple Choice

Determine if the series converges or diverges; if the series converges, find its sum.
- $$\sum _ { n = 0 } ^ { \infty } \frac { \sin \frac { ( n + 1 ) \pi } { 2 } } { 8 ^ { n } }$$

A) Converges; $\frac { 1 } { 7 }$
B) Converges; 8
C) Converges; $\frac { 8 } { 7 }$
D) Diverges