Determine If the Series Converges or Diverges; If the Series $$\sum _ { n = 0 } ^ { \infty } \frac { \cos n \pi } { 7 ^ { n } }$$

Multiple Choice

Determine if the series converges or diverges; if the series converges, find its sum.
- $$\sum _ { n = 0 } ^ { \infty } \frac { \cos n \pi } { 7 ^ { n } }$$

A) Converges; $\frac { 7 } { 6 }$
B) Converges; $\frac { 1 } { 6 }$
C) Converges; $\frac { 7 } { 8 }$
D) Diverges