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Determine the Sum of the Following Infinite Series k=0(13)k\sum _ { k = 0 } ^ { \infty } \left( \frac { 1 } { 3 } \right) ^ { k }

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Short Answer

Determine the sum of the following infinite series: k=0(13)k\sum _ { k = 0 } ^ { \infty } \left( \frac { 1 } { 3 } \right) ^ { k } (2)k+1( 2 ) ^ { \mathrm { k } + 1 } .
Enter just an integer.

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