Sum year we're having

Geometry Level 4

If \(\displaystyle\sum_{k=1}^{2015} \cot^{-1}(2k^{2}) = \cot^{-1}\left( \dfrac{a}{b} \right),\) where \(a\) and \(b\) are positive coprime integers, then find \(a + b.\)

×

Problem Loading...

Note Loading...

Set Loading...