Exploring Geometric Sequences
Exploring Geometric Sequences
Visualize geometric sequences using branching models. Discover how the common ratio affects growth patterns across terms.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
Joey creates the pattern 2, 6, 18, 54… How many branches are added in each step? What would the new pattern be if 4 branches are added in each step instead?
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Open-ended question 2
Joey creates the pattern 1, 5, 25, 125... Instead of starting with 1 branch Joey starts with 2 branches. What is the new pattern?
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Open-ended question 3
Suppose the pattern 32,16, 8, ... was modeled using a tree. Describe the kind of tree that would be needed.
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Prerequisite Resources
