How do you go from $$\sum_{0}^\infty (0.5e^-jw)^n$$
to
$$\frac{1}{1-0.5e^-jw}=\frac{e^jw}{e^jw-0.5}$$
and I was looking and this formula
$$\sum_{m=0}^{m=n} (a)^n = \frac{1-(a)^(n+1)}{1-a}$$
How do you go from $$\sum_{0}^\infty (0.5e^-jw)^n$$
to
$$\frac{1}{1-0.5e^-jw}=\frac{e^jw}{e^jw-0.5}$$
and I was looking and this formula
$$\sum_{m=0}^{m=n} (a)^n = \frac{1-(a)^(n+1)}{1-a}$$