# Peace Operator

Algebra Level 4

Consider the operation $\large ☮$ with the following properties: $\large a☮b=a+b+ab\\ \large a☮b☮c=(a☮b)☮c$

Evaluate $\large \frac { 1 }{ 2 } ☮\frac { 1 }{ 3 } ☮\frac { 1 }{ 4 } ☮ \ldots☮\frac { 1 }{ 2015 }.$

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