1. Consider the graph of
y = 1 − rx / 1 - r
(a) Use g graphing utility to graph y = for r = 1 / 2, 3 / 2, and 4 / 5. What happens as x → ∞?
(b) Use the graphing utility to graph y for r = 1.5, 2, and 3. What happens as x → ∞?
2. Write a brief paragraph explaining why the terms of a geometric sequence decrease in magnitude when −1 < r < 1.