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Shivani has a garden and likes to put flowers from her garden into pretty vases. Shivani put 44 flowers in the first vase, 88 flowers in the second vase, 1616 flowers in the third vase, and 3232 flowers in the fourth vase. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. Shivani has a garden and likes to put flowers from her garden into pretty vases. Shivani put 44 flowers in the first vase, 88 flowers in the second vase, 1616 flowers in the third vase, and 3232 flowers in the fourth vase. What kind of sequence is this?\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Arrange Flowers in Order: Shivani put flowers in vases in the following order: 44, 88, 1616, 3232. Let's list them out and check the sequence type.
  2. Check Arithmetic Sequence: Check if the sequence is arithmetic by finding the differences between consecutive terms: 8−4=48 - 4 = 4, 16−8=816 - 8 = 8, 32−16=1632 - 16 = 16. The differences are not the same, so it's not an arithmetic sequence.
  3. Check Geometric Sequence: Check if the sequence is geometric by finding the ratios between consecutive terms: 84=2\frac{8}{4} = 2, 168=2\frac{16}{8} = 2, 3216=2\frac{32}{16} = 2. The ratios are the same, so it's a geometric sequence.

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