The following sequences have the same rule but different starting values:

0, 1, 2, 2, 3, 5, 7, 10, 15, 22, 32,…

1, 1, 2, 3, 4, 6, 9, 13, 19, 28, 41,…

a) What are the next three terms in each sequence?

b) Explain the rule.

c) What is the relationship between corresponding terms of the two sequences?

BONUS Prove your answer to c)

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