An algebra problem by Abu Bakar Khan

Algebra Level 3

\[\large \sum_{r=1}^{25} i^{r!} = \, ? \]

Notations:

  • \(i = \sqrt {-1}\) is the imaginary unit.
  • \(!\) is the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).
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