Absolute value and complex number (2)
Algebra
Level
4
\[\large \sum_{k=2}^{2016} \left| k^{2016i} \right|+ \left| \prod_{k=2}^{2016} k^{2016i} \right| = ? \]
Notations:
- \(i=\sqrt{-1} \) denotes the imaginary unit.
- \( | \cdot | \) denotes the absolute value function.
by
Tommy Li