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Writing Formulas from Patterns
Worksheet
Grade Level
Algebra II
ALG2.187 Writing Formulas from Patterns
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A lab culture has 8 cells at stage 1. By stage 3 it has 72 cells and by stage 4 it has 216 cells, following a constant ratio. Which classification and explicit formula model a_n, the value at step n, for n >= 1?
A
Arithmetic; a_n = 8 + 16(n - 1)
B
Geometric; a_n = 8(3)^(n - 1)
C
Geometric; a_n = 24(3)^(n - 1)
D
Geometric; a_n = 8(3)
n
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