Find the Sum of the Infinite Series $\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 10 } \right) ^ { i }$

question 113

Multiple Choice

Find the sum of the infinite series. $\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 10 } \right) ^ { i }$

• A) \(\frac { 2 } { 9 }\)
• B) \(\frac { 9 k } { 2 }\)
• C) \(\frac { 9 } { 2 }\)
• D) \(- \frac { 2 k } { 9 }\)
• E) \(\frac { 2 k } { 9 }\)

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