Question

Please solve as soon as possible.​

Answer 1

Step-by-step explanation:

We have,

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

$= \frac{1 \times i}{i \times i} + \frac{2}{ - 1 } + \frac{3}{ - i } + \frac{5}{ 1 }$

$= \frac{i}{i^{2} } - 2 - \frac{3}{ i } + 5$

$= \frac{i}{ - 1 } - 2 - \frac{3 \times i}{ i \times i } + 5$

$= - i - 2 - \frac{3 \times i}{ i ^{2} } + 5$

$= - i - 2 - \frac{3 i}{ - 1 } + 5$

$= - i - 2 + 3 i + 5$

$= 2 i + 3$

$= 3 + 2 i$