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Consider the sequence 3, 6, 12, 24, ... Is this sequence arithmetic, geometric, or neither?*NeitherArithmeticGeometric

Question

Consider the sequence 3, 6, 12, 24, ... Is this sequence arithmetic, geometric, or neither?*NeitherArithmeticGeometric

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Solution

This sequence is geometric. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this case, each term is double the previous term (32=6, 62=12, 12*2=24, and so on), so the common ratio is 2.

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