How do you determine whether the sequence $3, 12, 48, 192,...$ is geometric and if it is, what is the common ratio?

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Answer 1 · 2017-08-06T12:46:13

It is a geometric sequence and common ratio is $4$ .

In a geometric sequence ratio of each term to its immediately preceding term is always constant and is known as common ratio.

Here $192/48=48/12=12/3=4$

Hence it is a geometric sequence and common ratio is $4$ .

How do you determine whether the sequence 3, 12, 48, 192,...3, 12, 48, 192,... is geometric and if it is, what is the common ratio?