Classify each sequence:1/3, 2/3, 4/3, 8/3,… a. arithmetic b. geometric c. neither​

Question

Classify each sequence:1/3, 2/3, 4/3, 8/3,…

a. arithmetic
b. geometric
c. neither​

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Kennedy 2 weeks 2021-09-14T05:22:34+00:00 2 Answers 0

Answers ( )

    0
    2021-09-14T05:24:10+00:00

    Answer:

    b. Geometric

    Step-by-step explanation:

    (1/3)×2 = (2/3)

    (2/3)×2 = 4/3

    (4/3)×2 = 8/3

    2 is the common ratio

    0
    2021-09-14T05:24:22+00:00

    Answer:

      b.  geometric

    Step-by-step explanation:

    The terms don’t have a common difference, but they do have a common ratio: 2. A sequence in which terms have a common ratio is a geometric sequence.

    ___

    Differences are …

      2/3 -1/3 = 1/3

      4/3 -2/3 = 2/3 . . . . not the same

    Ratios are …

      (2/3)/(1/3) = 2

      (4/3)/(2/3) = 2

      (8/3)/(4/3) = 2 . . . . ratios are common between pairs of terms

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