# Welcome 2015!!!!

Algebra Level pending

If $$1/z+z=2\cos { \theta }$$ then, The value of the expression $$\frac { 1 }{ { z }^{ 2015 } } +{ z }^{ 2015 }$$ can be expressed in the form $$k\cos { n\theta }$$ where $$k$$ and $$n$$ are integers, what is the value of $$n+k$$ ?

P.S. This problem is not original. I just feel like this needs to be shared here.

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