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Is the sequence 0.5, 2, 8, 32, 128 an arithmetic or geometric sequence? What number does the sequence have a common difference or ratio of?

1 Answer

4 votes

a geometric sequence

The sequence have a common ratio of 4

Step-by-step explanation:

Sequence: 0.5, 2, 8, 32, 128

An arithmetic sequence is gotten using a common difference

common difference = next term - previous term

common difference = 2 - 0.5 = 1.5

common difference = 8 - 2 = 6

common difference is not the same. Hence, it is not arithmetic sequence

A geometric sequence is determined using a common ratio

common ratio = next term/previous term

common ratio = 2/0.5 = 4

common ratio = 8/2 = 4

common ratio is the same. Hence, it is a geometric sequence

The sequence have a common ratio of 4

User MichaelH
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