Hello,vvc531!

(4) Terms of a sequence can also be complex numbers.

All the usual rules and formulae apply.

a. If the first term of a geometic sequence is and the common ratio is ,

list the first five terms of this sequence and find their sum.

b. Identify and find the sum of this infinite geometric series:

. . .

We have: .

Since , we have: .

Since .we have: .

Rationalize: .