Find the Values of X for Which the Geometric Series $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { x - 8 } { 2 } \right) ^ { n }$$

question 149

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { x - 8 } { 2 } \right) ^ { n }$$

• A) \(- 10 < x < 10\)
• B) \(4 < x < 12\)
• C) \(6 < x < 10\)
• D) \(- 4 < x < 12\)

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