Find the Sum of the Geometric Series for Those X $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { x - 6 } { 10 } \right) ^ { n }$$

Multiple Choice

Find the sum of the geometric series for those x for which the series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { x - 6 } { 10 } \right) ^ { n }$$

A) $\frac { 10 } { - 4 + x }$
B) $\frac { 10 } { 4 - x }$
C) $\frac { 10 } { - 4 - x }$
D) $\frac { 10 } { 4 + x }$