1. Set a1 to 3, r to 1, and n to 10. Vary the r slider for values greater than 1.

Describe the graph from left to right.

Vary the r slider for values between 0 and 1. How does the graph change? Why?

Describe the graph when r is negative. Why is this?

2. Explain why a sequence like 12, 12, 12, 12, ... is both arithmetic and geometric.

3. Write the explicit formula for the geometric sequence shown in the graph to the right. Then check your answer in the Gizmo.

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