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Which of the following statements are true for an arithmetic pattern? The pattern has a constant second level difference between consecutive terms.The pattern has a constant ratio between consecutive terms.The pattern has a constant difference between consecutive terms.None of the options given are true.

Question

Which of the following statements are true for an arithmetic pattern? The pattern has a constant second level difference between consecutive terms.The pattern has a constant ratio between consecutive terms.The pattern has a constant difference between consecutive terms.None of the options given are true.

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Solution

The statement that is true for an arithmetic pattern is: "The pattern has a constant difference between consecutive terms."

In an arithmetic sequence, the difference between any two consecutive terms is constant. This difference is often referred to as the "common difference". The other options are not characteristics of an arithmetic sequence. The second option describes a geometric sequence, not an arithmetic one. The first option could describe a quadratic sequence, where the second differences are constant, but not an arithmetic sequence.

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