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

question 130

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) \(6 < \mathrm { x } < 14\)

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