Question

Describe the similarities and differences between arithmetic and geometric sequences.

Solution

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1 of 2Arithmetic and geometric sequences both give lists of numbers that follow a certain pattern. Some sequences can be both arithmetic and geometric such as the sequence 5, 5, 5, ...This sequence is arithmetic since it has a common difference of 0 and also geometric since it has a common ratio of 1.

The difference between an arithmetic sequence and a geometric sequence is that the terms of an arithmetic sequence has a common difference, that is, you are adding the same number each time to find the next term. A geometric sequence has a common ratio, that is, you are multiplying by the same number each time to find the next terms.

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