Just verify!

Algebra Level 3

1i+2i2+3i3+5i4\large \frac{1}{i} + \frac{2}{i^{2}} + \frac{3}{i^{3}} + \frac{5}{i^{4}}

Express the above expression in the form of a+iba+ib.

Clarification: i=1i=\sqrt{-1}.

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