Answer: Choice D) 3, 6, 12, 24, 48
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Step-by-step explanation:
Sequence A is not geometric. Dividing each term by its previous term does not lead to the same common ratio. For instance, 3/1 = 3 and 5/3 = 1.67
Sequence B is a similar story. We have 4/2 = 2 and -6/4 = -1.5
Sequence C is similar as well. This time 5/2 = 2.5 and 7/5 = 1.4
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Sequence D is geometric because dividing each term over its previous term leads to the same common ratio
6/3 = 2
12/6 = 2
24/12 = 2
48/12 = 2
The common ratio is r = 2.
Put another way, each term is multiplied by 2 to get the next term
3*2 = 6
6*2 = 12
12*2 = 24
24*2 = 48