Find the Sum of the Geometric Series for Those X $$\sum _ { n = 0 } ^ { \infty } \left( \frac { x - 9 } { 6 } \right) ^ { n }$$

Multiple Choice

Find the sum of the geometric series for those x for which the series converges.
- $$\sum _ { n = 0 } ^ { \infty } \left( \frac { x - 9 } { 6 } \right) ^ { n }$$

A) $\frac { 6 } { 15 + x }$
B) $\frac { 9 } { 15 - x }$
C) $\frac { 9 } { 15 + x }$
D) $\frac { 6 } { 15 - x }$