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

question 54

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) \(\frac { 6 } { 15 - x }\)

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