Circular Sums

Algebra Level 3

\[ \large \sum_{n=0}^{2016} e^{n i \pi /2}= a+bi \]

If the equation above holds true for real numbers \(a\) and \(b\), find \(a+b\).

Clarification: \(i=\sqrt{-1} \) denotes the imaginary unit.

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