Find the Values of X for Which the Geometric Series $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { x - 8 } { 2 } \right) ^ { n }$$

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { x - 8 } { 2 } \right) ^ { n }$$

A) $- 10 < x < 10$
B) $4 < x < 12$
C) $6 < x < 10$
D) $- 4 < x < 12$