Who's up to the challenge? 36

Geometry Level 5

\[ \large \displaystyle\sum _{ n=1 }^{ 2015 }{ (-1)^{ n }\sin ^{ 2016 }{ \left( \dfrac { n\pi }{ 2016 } \right) } } =\dfrac { a }{ { 2 }^{ b } } \]

The equation above holds true for positive integers \(a\) and \(b\) with \(b\) maximized. Find \(a+b\).

Note:the fraction is in simplest terms

×

Problem Loading...

Note Loading...

Set Loading...