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Diego got a new video game. He scored points on the first level, points on the second level, points on the third level, and point on the fourth level. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Full solution
Q. Diego got a new video game. He scored points on the first level, points on the second level, points on the third level, and point on the fourth level. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
- Identify Scores Sequence: Step : Identify the sequence of scores Diego got in each level: .
- Check Arithmetic Differences: Step : Check if the sequence is arithmetic by finding the difference between consecutive terms.Difference between first and second levels: .Difference between second and third levels: .Difference between third and fourth levels: .Since the differences are not the same, the sequence is not arithmetic.
- Check Geometric Ratios: Step : Check if the sequence is geometric by finding the ratio between consecutive terms.Ratio between first and second levels: .Ratio between second and third levels: .Ratio between third and fourth levels: .Since the ratios are the same, the sequence is geometric.
