Question

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

Answer 1

The given sequence is a geometric sequence with a common ratio of 3.

Which type of sequence do we have here?

A geometric sequence is a sequence where the quotient between any pair of consecutive terms is a constant, called the common ratio.

Here we have the sequence:

3, 9, 27, ...

The quotient between the first two terms is:

9/3 = 3

The quotient between the third and second terms is:

27/9 = 3.

So yes, we conclude that this is a geometric sequence, where the common ratio is 3.

If you want to learn more about geometric sequences:

brainly.com/question/1509142

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