Question

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Explanation:

1. The described sequence has a constant difference between consecutive terms, which defines an arithmetic sequence.
2. A sequence where each term is the prior term multiplied by a fixed non-zero number is a geometric sequence.
3. The fixed multiplier in a geometric sequence is its common ratio.
4. The formula $a_n = a_1 + (n-1) \times d$ is the nth term formula for an arithmetic sequence.

Answer:

1. arithmetic
2. geometric
3. common
4. arithmetic