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Ayana went out to her garden and cut roses from the first rose bush, roses from the second rose bush, roses from the third rose bush, and roses from the fourth rose bush. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
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Q. Ayana went out to her garden and cut roses from the first rose bush, roses from the second rose bush, roses from the third rose bush, and roses from the fourth rose bush. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
- Identify Rose Bushes: Let's list the number of roses cut from each rose bush to identify the sequence:First rose bush: rosesSecond rose bush: rosesThird rose bush: rosesFourth rose bush: roses
- Check for Arithmetic Sequence: To determine if this is an arithmetic sequence, we need to check if the difference between consecutive terms is constant.Difference between second and first: Difference between third and second: Difference between fourth and third: Since the differences are not constant, this is not an arithmetic sequence.
- Check for Geometric Sequence: To determine if this is a geometric sequence, we need to check if the ratio between consecutive terms is constant.Ratio of second to first: Ratio of third to second: Ratio of fourth to third: Since the ratios are not the same, this is not a geometric sequence.
- Observe Perfect Squares: We can observe that the numbers , , , and are all perfect squares.This sequence is made up of consecutive perfect squares, which is neither an arithmetic nor a geometric sequence.
