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Determine the Sum of the Following Infinite Series n=12n+(1)n3n\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } + ( - 1 ) ^ { n } } { 3 n }

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Determine the sum of the following infinite series: n=12n+(1)n3n\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } + ( - 1 ) ^ { n } } { 3 n } Enter just a reduced fraction of form ab\frac { a } { b } .


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