Question

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.

36,12,4,...

Answer 1

Answer: Geometric; common ratio = 1/3

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Reason:

Divide each term by its previous term

12/36 = 1/3

4/12 = 1/3

We get the same result each time, and that result is the common ratio. It says to multiply each term by 1/3 to get the next term

36*(1/3) = 12

12*(1/3) = 4