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Lester is picking flowers in the garden. He picked flowers from the first bush, flowers from the second bush, flowers from the third bush, and flowers from the fourth bush. What kind of sequence is this?Choices:[A]arithmetic[B]geometric [C]both[D]neither
Full solution
Q. Lester is picking flowers in the garden. He picked flowers from the first bush, flowers from the second bush, flowers from the third bush, and flowers from the fourth bush. What kind of sequence is this?Choices:[A]arithmetic[B]geometric [C]both[D]neither
- List Flowers Picked: First, let's list the number of flowers Lester picked from each bush: , , , .
- Check Arithmetic Sequence: To determine if it's an arithmetic sequence, we check if the difference between consecutive terms is constant.Difference between second and first term: .Difference between third and second term: .Difference between fourth and third term: .The differences are not constant, so it's not an arithmetic sequence.
- Check Geometric Sequence: To determine if it's a geometric sequence, we check if the ratio between consecutive terms is constant.Ratio of second to first term: .Ratio of third to second term: .Ratio of fourth to third term: .The ratios are not the same, so it's not a geometric sequence.
- Final Answer: Since the sequence is neither arithmetic nor geometric, the answer is ＂neither＂.
