Find the Values of X for Which the Geometric Series $$\sum _ { n = 0 } ^ { \infty } \left( \frac { x - 10 } { 2 } \right) ^ { n }$$

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { n = 0 } ^ { \infty } \left( \frac { x - 10 } { 2 } \right) ^ { n }$$

A) $- 6 < x < 14$
B) $- 12 < x < 12$
C) $8 < x < 12$
D) $6 < \mathrm { x } < 14$