While organizing the magazines at the doctor's office, Ava put 67 magazines in the first pile, 47 magazines in the second pile, 27 magazines in the third pile, and 7 magazines in the fourth pile. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Q. While organizing the magazines at the doctor's office, Ava put 67 magazines in the first pile, 47 magazines in the second pile, 27 magazines in the third pile, and 7 magazines in the fourth pile. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Identify sequence type: To determine the type of sequence, we need to look at the differences or ratios between consecutive terms.
Calculate first pile difference: First, we calculate the difference between the first and second piles: 67−47=20.
Calculate second pile difference: Next, we calculate the difference between the second and third piles: 47−27=20.
Calculate third pile difference: Then, we calculate the difference between the third and fourth piles: 27−7=20.
Confirm arithmetic sequence: Since the difference between each pair of consecutive piles is the same 20, this indicates that the sequence is an arithmetic sequence.
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