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While counting chairs in the lunch room, Tracy 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
Full solution
Q. While counting chairs in the lunch room, Tracy 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
- Count Chairs in Each Row: Tracy noticed that there were chairs in each row.First row: Second row: Third row: Fourth row: List the number of chairs in each row in the given order.Sequence:
- Check Consecutive Differences: Are the differences between consecutive terms equal?The difference between each consecutive term is the same (zero).
- Check Consecutive Ratios: Are the consecutive ratios of the sequence equal?The ratio between each consecutive term is the same ().
- Identify Sequence Type: The sequence has:a common difference of .a common ratio of .What type of sequence is ?The sequence has both a consecutive difference and a ratio that are constant.The sequence is both arithmetic and geometric.
