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While organizing the magazines at the doctor's office, Bob put magazines in the first pile, magazines in the second pile, magazines in the third pile, and magazines in the fourth pile. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Full solution
Q. While organizing the magazines at the doctor's office, Bob put magazines in the first pile, magazines in the second pile, magazines in the third pile, and magazines in the fourth pile. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
- Identify sequence: Step : Identify the sequence by listing the number of magazines in each pile: .
- Check arithmetic: Step : Check if the sequence is arithmetic by finding the difference between consecutive terms. Difference between and , Difference between and , Difference between and . Since the differences are not constant, it's not an arithmetic sequence.
- Check geometric: Step : Check if the sequence is geometric by finding the ratio between consecutive terms.Ratio of to , Ratio of to , Ratio of to . Since the ratios are not constant, it's not a geometric sequence.
- Final answer: Step : Since the sequence is neither arithmetic nor geometric, and it doesn't fit both categories either, the answer is neither.
