Find the Sum of the Series $$\sum _ { n = 0 } ^ { \infty } \left( \frac { 1 } { 7 ^ { n } } - \frac { 1 } { 9 ^ { n } } \right)$$

question 270

Multiple Choice

Find the sum of the series.
- $$\sum _ { n = 0 } ^ { \infty } \left( \frac { 1 } { 7 ^ { n } } - \frac { 1 } { 9 ^ { n } } \right)$$

• A) \(- \frac { 1 } { 3 }\)
• B) \(- \frac { 1 } { 24 }\)
• C) \(\frac { 1 } { 3 }\)
• D) \(\frac { 1 } { 24 }\)

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