Evaluate the infinite sum ∑n=0∞(i2)n\sum_{n=0}^{\infty} (\frac{i}{2})^n∑n=0∞(2i)n.
4+2i5\frac{4+2i}{5}54+2i
2+i5\frac{2+i}{5}52+i
1+i1+i1+i
12+i\frac{1}{2}+i21+i