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Dylan is putting stickers in a sticker book. He put stickers on the first page, stickers on the second page, stickers on the third page, and stickers on the fourth page. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
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Q. Dylan is putting stickers in a sticker book. He put stickers on the first page, stickers on the second page, stickers on the third page, and stickers on the fourth page. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
- Identify Pattern: Identify the pattern in the sequence of stickers on each page.Dylan put stickers on the first page, stickers on the second page, stickers on the third page, and stickers on the fourth page. To determine the type of sequence, we need to look at the differences or ratios between the numbers.
- Calculate Differences: Calculate the differences between consecutive terms to check for an arithmetic sequence.Difference between second and first page: Difference between third and second page: Difference between fourth and third page: Since the differences are not the same, it is not an arithmetic sequence.
- Calculate Ratios: Calculate the ratios between consecutive terms to check for a geometric sequence.Ratio of second to first page: Ratio of third to second page: Ratio of fourth to third page: We can see that the ratios are not the same, so it is not a geometric sequence.
- Determine Sequence Type: Determine the type of sequence.Since the differences are not constant, it is not an arithmetic sequence. Since the ratios are not constant, it is not a geometric sequence. Therefore, the sequence is neither arithmetic nor geometric.
