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Find the Indicated Partial Sum of the Series $\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 3 } \right) ^ { i }$

Question 23

Question 23

Multiple Choice

Find the indicated partial sum of the series. $\sum _ { i = 1 } ^ { \infty } 2 \left( \frac { 1 } { 3 } \right) ^ { i }$ fourth partial sum

A) $\frac { 2 } { 81 }$
B) $\frac { 242 } { 81 }$
C) $\frac { 80 } { 81 }$
D) $\frac { 26 } { 81 }$
E) $\frac { 82 } { 81 }$

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