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Determine the Sum of the Following Geometric Series: 1 - 123\frac { 1 } { 2 ^ { 3 } }

Question 30

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Determine the sum of the following geometric series: 1 - 123\frac { 1 } { 2 ^ { 3 } } + 126\frac { 1 } { 2 ^ { 6 } } - 129\frac { 1 } { 2 ^ { 9 } } + 1212\frac { 1 } { 2 ^ { 12 } } - ... .
Enter just a reduced fraction of form ab\frac { a } { b } .

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