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Homework Statement
A maple tree has branch buds. These grow in groups of 3 at the ends of the branches and in groups of 2 at each year's growth of those branches. The largest branch bud in the groups of 3 just extends the existing branch. Describe this with a function and is the function exponential?
Homework Equations
2*y years = number of branches from an existing branch
The Attempt at a Solution
Year 1: 0
Year 2: 2
Year 3: 8
Year 4: 22
It looks like it is exponential. But is it really or is it a polynomial function?