1. What is the difference between a geometric series and an arithmetic series?
Each term of a geometric series is calculated by multiplying the previous term by a fixed amount whereas each term of an arithmetic series is calculated by addinga fixed amount to the previous term.
2. When does a geometric sequence have a sum to infinity?
When the common ratio is a positve or negative fraction between -1 and 1.
i.e. -1 < r < 1