A sequence is geometric if the ratios of consecutive terms are the same. That means if each term is found by multiplying the preceding term by the same number. This number is called the COMMON RATIO.

6, 12, 24, 48, … r = 2 because 2, 10, 50, 250, 1250, … r=5 because

Is this a geometric sequence? If so, what is the common ratio?

Let’s look at the geometric sequence 6, 12, 24, 48, 96, … in a different way

The nth Term of a Geometric Sequence

Find the first 4 terms of the geometric sequence. −3 −3∙3= −9 −9∙3= −27 −27∙3= −81

Find the first 5 terms of the geometric sequence.

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Now you try the homework problems!!