Arithmetic Sequences and Growing Patterns

Arithmetic Sequences and Growing Patterns

Identify the rule behind a growing pattern and extend it by recognizing how new elements are added at each step.


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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 3, 5, 7, 9… How many squares change in each step? What would the new pattern be if 4 squares are added in each step instead?

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Open-ended question 2

Joey creates the pattern 1, 6, 11, 16, 21. Instead of starting with 1 square, Joey starts with 2 squares. What is the new pattern?

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Open-ended question 3

Describe how to use squares to create the pattern 7, 6, 5, 4…

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