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Determine the Sum of the Following Infinite Series k=0(1)k\sum _ { k = 0 } ^ { \infty } ( - 1 ) ^ { k }

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Determine the sum of the following infinite series: k=0(1)k\sum _ { k = 0 } ^ { \infty } ( - 1 ) ^ { k } 27k\frac { 2 } { 7 \mathrm { k } } .
Enter just a reduced fraction of form ab\frac { a } { b } .


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