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While counting chairs in the lunch room, Krysta noticed that there were chairs in the first row, chairs in the second row, chairs in the third row, and chairs in the fourth row. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
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Q. While counting chairs in the lunch room, Krysta noticed that there were chairs in the first row, chairs in the second row, chairs in the third row, and chairs in the fourth row. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
- Identify Chairs in Rows: Krysta noticed a certain number of chairs in each row.First row: chairsSecond row: chairsThird row: chairsFourth row: chairsLet's list the number of chairs in the given order.Sequence:
- List Chair Numbers: Are the differences between consecutive terms equal?The differences are not the same, so it is not an arithmetic sequence.
- Check for Arithmetic Sequence: Are the consecutive ratios of the sequence equal?The ratio between each consecutive term is the same, which is .
- Check for Geometric Sequence: The sequence has:no common difference.a common ratio of .What type of sequence is ?Since the sequence has a common ratio, it is a geometric sequence.
