Q: Which of the following statements about arithmetic and geometric sequences are correct?
(A) In an arithmetic sequence, the difference between consecutive terms is constant;
(B) In a geometric sequence, the ratio between consecutive terms is constant;
(C) A sequence where each term equals the sum of the two preceding terms is both arithmetic and geometric;
(D) An arithmetic sequence can be strictly increasing, strictly decreasing or constant depending on the common difference;
(E) A non-zero geometric sequence with common ratio β1 alternates between two distinct values;
Choose the correct answer from the options given below:

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