Question

Fund the value of i+ i²+i³ +i⁴​

Answer 1

Question:

Find the value of $i+ i^2+i^3 +i^4$

Solution:

$\tt i^2 ~can ~be ~written ~as~ -1 \\\\ \tt i^3 can~ be~ written ~as ~ i.i^2 = -i \\\\ \tt and~ i^4 ~can~ be ~written ~as~ (i^2)^2 =(-1)^2 = 1 \\\\ \tt \bf{A/q } \\\\ \tt i+ i^2+i^3 +i^4 \\\\ \tt \to i-1-i+1 \\\\ \tt \to0$

0 is the answer.