Peace Operator

Algebra Level 4

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

Evaluate 12131412015.\large \frac { 1 }{ 2 } ☮\frac { 1 }{ 3 } ☮\frac { 1 }{ 4 } ☮ \ldots☮\frac { 1 }{ 2015 }.

×

Problem Loading...

Note Loading...

Set Loading...