A geometric sequence has a common ratio of 2 and the 12th term is −12,288.

A. an=−6⋅2(n−1)
B. an=2⋅(−6)(n−1)
C. an=12⋅2(n−1)
D. an=−12,288⋅2(n−1)

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shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns