Find the Values of X for Which the Geometric Series $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { x - 7 } { 8 } \right) ^ { n }$$

question 67

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { x - 7 } { 8 } \right) ^ { n }$$

• A) -9 < x < 23
• B) 9 < x < 23
• C) -15 < x < 15
• D) -1 < x < 15

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