Find the Sum of the Infinite Series $$\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 4 } \right) ^ { i }$$

question 10

Multiple Choice

Find the sum of the infinite series.
$$\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 4 } \right) ^ { i }$$

• A) undefined
• B) \(\frac { 2 } { 5 }\)
• C) 2
• D) \(\frac { 4 } { 3 }\)
• E) \(\frac { 2 } { 3 }\)

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