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

question 87

Multiple Choice

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

• A) \(0 < x < \frac { 1 } { 7 }\)
• B) \(- \frac { 1 } { 7 } < x < \frac { 1 } { 7 }\)
• C) \(- \frac { 2 } { 7 } < x < 0\)
• D) \(0 < x < \frac { 2 } { 7 }\)

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