Question Video: Identifying If a Given Series Is Arithmetic or Geometric Mathematics

Is the following sequence arithmetic or geometric? 11, 33, 99, 297, ….

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Video Transcript

Is the following sequence arithmetic or geometric? 11, 33, 99, 297, and so on.

Well, if we were adding we would get- have to add different numbers each time to get the next number in the sequence. But if we multiply each term by three, we generate the next term. So we’ve got a common ratio of three. So the fact that we’ve got a common ratio rather than a common difference tells us that we got a geometric sequence.

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