2. 3, 6, 12, 24, 48, 96, …. Circle one: Arithmetic or Geometric Fill in the value of d = _____ or r = ______ Identify the

Question

2. 3, 6, 12, 24, 48, 96, ….
Circle one: Arithmetic or Geometric
Fill in the value of d = _____ or r = ______
Identify the value of the 5th term: _________

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Thu Hương 4 years 2021-08-04T23:13:27+00:00 1 Answers 18 views 0

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    2021-08-04T23:15:02+00:00

    Answer:

    geometric with r = 2

    Step-by-step explanation:

    An arithmetic sequence has a common difference between consecutive terms

    6 – 3 = 3

    12 – 6 = 6

    24 – 12 = 12

    48 – 24 = 24

    96 – 48 = 48

    As we see the differences are not common, so not arithmetic

    A geometric sequence has a common ratio between consecutive terms.

    6 ÷ 3 = 2

    12 ÷ 6 = 2

    24 ÷ 12 = 2

    48 ÷ 24 = 2

    96 ÷ 48 = 2

    There is a common ratio of 2, so sequence is geometric

    with 5th term = 48

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