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A new cookbook is becoming popular. The local bookstore ordered 2222 copies in June, 6666 copies in July, 198198 copies in August, and 594594 copies in September. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Identify arithmetic and geometric sequencesright chevron icon

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Q. A new cookbook is becoming popular. The local bookstore ordered 2222 copies in June, 6666 copies in July, 198198 copies in August, and 594594 copies in September. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Identify Numbers Sequence: Identify the sequence of numbers.\newlineJune: 2222 copies, July: 6666 copies, August: 198198 copies, September: 594594 copies.
  2. Check Arithmetic Differences: Check if the sequence is arithmetic by finding the difference between consecutive terms.\newlineDifference between July and June: 66−22=4466 - 22 = 44\newlineDifference between August and July: 198−66=132198 - 66 = 132\newlineDifference between September and August: 594−198=396594 - 198 = 396\newlineThe differences are not constant, so it's not an arithmetic sequence.
  3. Check Geometric Ratios: Check if the sequence is geometric by finding the ratio between consecutive terms.\newlineRatio of July to June: 6622=3\frac{66}{22} = 3\newlineRatio of August to July: 19866=3\frac{198}{66} = 3\newlineRatio of September to August: 594198=3\frac{594}{198} = 3\newlineThe ratios are constant, so it's a geometric sequence.

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