1. MODELING IN MATHEMATICS
Grades 9-12
_________

2. ADMIT TICKET
Marco Laboratories conducted an experiment on cell growth.
The table shows the number of cells at the end of each week.
Week Number
Number of cells 1 4 2 12 3 36
108

3. a. Assume that the cell growth continues in this same pattern, how many cells will there be in 5 weeks? 6 weeks? 7 weeks? b. Write a recursive definition for the sequence. 𝑤 1 = _____ 𝑤 𝑛 =________________ c. Write an explicit formula for this sequence.

4. Admit ticket continued…
d. Assuming the cells continue to grow
according to the pattern, which formula
would you use to find the when the
week The number of cells exceeds
one million?

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