Exploring Geometric Sequences

Exploring Geometric Sequences

Visualize geometric sequences using branching models. Discover how the common ratio affects growth patterns across terms.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Question ouverte 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?

Entrée de texte et de données mathématiques

Question ouverte 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?

Entrée de texte et de données mathématiques

Question ouverte 3

Suppose the pattern 32,16, 8, ... was modeled using a tree. Describe the kind of tree that would be needed.

Entrée de texte et de données mathématiques