To analyze the sequence of daisy seeds planted by Joslyn, we can look at the values given: 1, 2, 4, 8, 16, 32.
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Arithmetic Sequence: An arithmetic sequence has a common difference between consecutive terms. Here, the differences are 1, 2, 4, 8, and 16, which are not constant. Therefore, statement A is false.
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Geometric Sequence: A geometric sequence has a common ratio between consecutive terms. The ratios here are 2, 2, 2, 2, and 2, which are constant. Therefore, statement B is true.
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Formula d = 2n: This formula means that on day n, the number of seeds planted would be 2 times n. For example, on day 1, it would be 2 (which is incorrect as she planted 1). Therefore, statement C is false.
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Formula d = 2n - 1: This suggests that the first day's planting (n=1) would be 1, the second day (n=2) would be 3, and so on. The values do not match with the provided sequence. Therefore, statement D is false.
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Formula d = 2^n: Here, on the first day (n=1), the value would be 2^1 = 2 (which does not match the sequence). Therefore, statement E is false.
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Formula d = 2^n - 1: This suggests that on day 1 (n=1), d = 2^1 - 1 = 1, on day 2 (n=2), d = 2^2 - 1 = 3, and so on. This does not correspond to the values given either. Therefore, statement F is also false.
After analyzing each statement, the only true statement about Joslyn's planting of daisies is option:
- B: The sequence is geometric.
- E: The sequence is represented by d = 2^n (if we consider that it can also be represented starting at n=0).
So, the correct answers based on the provided information are B and E.