Question

Is the following sequence 2,4,16 arithmetic or geometric?

Answer 1

• This sequence is neither arithmetic nor geometric

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The given sequence is 2, 4, 16.

In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio of consecutive terms is constant.

In this sequence, neither the difference nor the ratio is constant:

• 4 - 2 ≠ 16 - 4
• 4/2 ≠ 16/4

Therefore, it is neither arithmetic nor geometric.