Find the Sum of the Infinite Geometric Series $$\sum _ { n = 0 } ^ { \infty } 4 \left( - \frac { 1 } { 5 } \right) ^ { n }$$

question 40

Multiple Choice

Find the sum of the infinite geometric series.
$$\sum _ { n = 0 } ^ { \infty } 4 \left( - \frac { 1 } { 5 } \right) ^ { n }$$

• A) \(- \frac { 10 } { 3 }\)
• B) \(\frac { 10 } { 3 }\)
• C) \(\frac { 2 } { 3 }\)
• D) \(- \frac { 2 } { 3 }\)
• E) undefined

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