Question

calculati : i^22+i^33+i^44+i^55

Answer 1

$i^{22}+ i^{33}+ i^{44}+ i^{55}= i^{4*5+2} + i^{4*8+1} + i^{4*11+0}+ i^{4*13+3} = \\ = i^{2}+i^1+i^0+i^3=-1+i+1-i=0$

Answer 2

i^22=i²=-1
i^33=i
i^44=1
i^55=i³=-i
suma va fi 0