Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81

It is a geometric sequence and the common scale factor is .

Step-by-step explanation:

In an arithmetic sequence, the difference between consecutive terms is always the same.

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

In a geometric sequence, each consecutive term was multiplied by some factor over the last.

where aₙ is the nth term, n is the index, and x is the scale factor.

In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by over the last.

The formula for this sequence would be:

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step-by-step explanation:

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