Find the Sum of the Series as a Function of X

question 114

Multiple Choice

Find the sum of the series as a function of x.
- $$\sum _ { n = 1 } ^ { \infty } \left( \frac { x - 6 } { 3 } \right) ^ { n }$$

• A) \(- \frac { x - 6 } { x - 9 }\)
• B) \(- \frac { x - 6 } { x + 9 }\)
• C) \(- \frac { x - 6 } { x + 3 }\)
• D) \(- \frac { x - 6 } { x - 15 }\)