MODELING IN MATHEMATICS

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Presentation transcript:

MODELING IN MATHEMATICS Grades 9-12 _________

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

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.

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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