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Is the sequence geometric or arithmetic?6,18,54...

1 Answer

4 votes

Answer:

geometric sequence

Explanation:

The consecutive terms of an arithmetic sequence have a common difference d between them.

18 - 6 = 12

54 - 18 = 36

There is no common difference, thus not arithmetic

The consecutive terms of a geometric sequence have a common ratio r between them.

18 ÷ 6 = 3

54 ÷ 18 = 3

There is a common ratio, thus sequence is geometric

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