Find the Values of X for Which the Geometric Series $$\sum _ { \mathrm { n } = 0 } ^ { \infty } ( 6 \mathrm { x } + 1 ) ^ { \mathrm { n } }$$

question 343

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { \mathrm { n } = 0 } ^ { \infty } ( 6 \mathrm { x } + 1 ) ^ { \mathrm { n } }$$

• A) \(0 < x < \frac { 1 } { 6 }\)
• B) \(0 < x < \frac { 1 } { 3 }\)
• C) \(- \frac { 1 } { 6 } < x < \frac { 1 } { 6 }\)
• D) \(- \frac { 1 } { 3 } < x < 0\)

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