Find the Sum $$\frac { 1 } { 7 } + \frac { 3 } { 7 } + \frac { 3 ^ { 2 } } { 7 } + \frac { 3 ^ { 3 } } { 7 } + \cdots + \frac { 3 ^ { n - 1 } } { 7 }$$

question 208

Multiple Choice

Find the sum.
- $$\frac { 1 } { 7 } + \frac { 3 } { 7 } + \frac { 3 ^ { 2 } } { 7 } + \frac { 3 ^ { 3 } } { 7 } + \cdots + \frac { 3 ^ { n - 1 } } { 7 }$$

• A) \(- \frac { 1 } { 7 } \left( 1 - 3 ^ { n } \right)\)
• B) \(\frac { 1 } { 14 } \left( 1 - 3 ^ { n } \right)\)
• C) \(- \frac { 2 } { 7 } \left( 1 - 3 ^ { n } \right)\)
• D) \(- \frac { 1 } { 14 } \left( 1 - 3 ^ { n } \right)\)

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