Can you make sure I'm doing this right?

[Jamin2112]

Homework Statement

Homework Equations

If |z|>1, the series ∑z^-n converges to 1/(z-1)

If |z|<1, the series ∑zⁿ converges to 1/(1-z)

The Attempt at a Solution

? Am I getting there?

 

[spamiam]

Homework Equations

If |z|>1, the series ∑z^-n converges to 1/(z-1)

I don't think that equation is right... Shouldn't it be for |z|>1,
$$\sum_{n=0}^\infty \frac{1}{z^n} = \frac{1}{1-\frac{1}{z}} = \frac{z}{z-1} \; \; ?$$

Or am I missing something?