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question: Choose the sequence below that is arithmetic. \ A. 77,72,67,62,…77, 72, 67, 62, \ldots \ C. 3,5,9,17,33,…3, 5, 9, 17, 33, \ldots \ B. 1,4,8,13,19,…1, 4, 8, 13, 19, \ldots \ D. −7,−14,−28,−56,…-7, -14, -28, -56, \ldots

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Q. question: Choose the sequence below that is arithmetic. \ A. 77,72,67,62,…77, 72, 67, 62, \ldots \ C. 3,5,9,17,33,…3, 5, 9, 17, 33, \ldots \ B. 1,4,8,13,19,…1, 4, 8, 13, 19, \ldots \ D. −7,−14,−28,−56,…-7, -14, -28, -56, \ldots
  1. Sequence Type: question_prompt: Choose the sequence that is arithmetic.
  2. Calculate Differences: An arithmetic sequence has a common difference between consecutive terms. Calculate the difference between consecutive terms for each sequence.
  3. Sequence A: For sequence A (77,72,67,62,…)(77, 72, 67, 62, \ldots), the difference is 72−77=−572 - 77 = -5 and 67−72=−567 - 72 = -5.
  4. Sequence C: For sequence C(3,5,9,17,33,…)C (3, 5, 9, 17, 33, \ldots), the difference is 5−3=25 - 3 = 2, but 9−5=49 - 5 = 4. The differences are not constant.
  5. Sequence B: For sequence B (1,4,8,13,19,extellipsis)(1, 4, 8, 13, 19, extellipsis), the difference is 4−1=34 - 1 = 3, but 8−4=48 - 4 = 4. The differences are not constant.
  6. Sequence D: For sequence D (−7,−14,−28,−56,…)(-7, -14, -28, -56, \ldots), the difference is −14−(−7)=−7-14 - (-7) = -7, but −28−(−14)=−14-28 - (-14) = -14. The differences are not constant.

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