Question

$1+i+ i^{2} + i^{3} +...+ i^{10}$

Answer 1

O metoda mai simpla este asta:
1+(i+i^2+i^3+i^4)+...+(i^9+i^10)=1+(i-1-i+1)+...+(i-1)=i
In C,i ridicat la o anumita putere are anumite valori:
i^1=i
i^2=-1
i^3=-i
i^4=1
......
i^9=i^1=i
i^10=i^2=-1

=>i^(2k)=1