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Algebra Level 3

$\large \frac{1}{i} + \frac{2}{i^{2}} + \frac{3}{i^{3}} + \frac{5}{i^{4}}$

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

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

-2i+3

2i+3

2i

2i-3

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