While organizing the magazines at the doctor's office, Bob put 5 magazines in the first pile, 8 magazines in the second pile, 13 magazines in the third pile, and 21 magazines in the fourth pile. What kind of sequence is this? Choices: (A)arithmetic (B)geometric (C)both (D)neither

Question

While organizing the magazines at the doctor's office, Bob put 5 magazines in the first pile, 8 magazines in the second pile, 13 magazines in the third pile, and 21 magazines in the fourth pile. What kind of sequence is this?     Choices: (A)arithmetic (B)geometric (C)both (D)neither

Bytelearn · Accepted Answer

Identify sequence:  Step 1: Identify the sequence by listing the number of magazines in each pile: 5, 8, 13, 21. Check arithmetic:  Step 2: Check if the sequence is arithmetic by finding the difference between consecutive terms.  Difference between 8 and 5 = 3,  Difference between 13 and 8 = 5,  Difference between 21 and 13 = 8.  Since the differences are not constant, it's not an arithmetic sequence. Check geometric:  Step 3: Check if the sequence is geometric by finding the ratio between consecutive terms. Ratio of 8 to 5 ≈ 1.6,  Ratio of 13 to 8 ≈ 1.625,  Ratio of 21 to 13 ≈ 1.615.  Since the ratios are not constant, it's not a geometric sequence. Final answer:  Step 4: Since the sequence is neither arithmetic nor geometric, and it doesn't fit both categories either, the answer is (D) neither.

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