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While counting chairs in the lunch room, Rachel noticed that there were 33 chairs in the first row, 99 chairs in the second row, 2727 chairs in the third row, and 8181 chairs in the fourth row. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. While counting chairs in the lunch room, Rachel noticed that there were 33 chairs in the first row, 99 chairs in the second row, 2727 chairs in the third row, and 8181 chairs in the fourth row. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Count Chairs: Step 11: Rachel counted chairs in different rows.\newlineFirst row: 33 chairs\newlineSecond row: 99 chairs\newlineThird row: 2727 chairs\newlineFourth row: 8181 chairs\newlineList the number of chairs in the given order.\newlineSequence: 3,9,27,813, 9, 27, 81
  2. Check Ratios: Step 22: 3,9,27,813, 9, 27, 81\newlineAre the ratios between consecutive terms equal?\newline93=3\frac{9}{3} = 3\newline279=3\frac{27}{9} = 3\newline8127=3\frac{81}{27} = 3\newlineThe ratio between each consecutive term is the same, which is 33.
  3. Identify Sequence: Step 33: Since the ratio between consecutive terms is constant, the sequence is geometric.

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