Find the values of the following expressions: i+i^ 2 +i^ 3 +i^ 4 - Vidyadip

Question

Find the values of the following expressions: $\text{i}+\text{i}^{2}+\text{i}^{3}+\text{i}^{4}$

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Answer

$\text{i}+\text{i}^{2}+\text{i}^{3}+\text{i}^{4}=1+(-1)+(-\text{i})+1$ $=0$$\therefore\text{i}+\text{i}^{2}+\text{i}^{3}+\text{i}^{4}=0$

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