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22 April, 18:35

Three terms of an arithmetic sequence are shown below. Which recursive formula defines the sequence? f (1) = 6, f (4) = 12, f (7) = 18 f (n + 1) = f (n) + 6 f (n + 1) = 2f (n) f (n + 1) = f (n) + 2 f (n + 1) = 1.5f (n)

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Answers (2)
  1. 22 April, 21:14
    0
    c

    Step-by-step explanation:

    its c
  2. 22 April, 21:38
    0
    f (n + 1) = f (n) + 2

    Step-by-step explanation:

    A recursive formula gives any term in the sequence from the previous term.

    the n th term of an arithmetic sequence is

    f (n) = f (1) + (n - 1) d ← d is the common difference

    Given

    f (1) = 6 and

    f (4) = 12, then

    f (1) + 3d = 12, that is

    6 + 3d = 12 (subtract 6 from both sides)

    3d = 6 (divide both sides by 3)

    d = 2

    To obtain a term in the sequence add 2 to the previous term, hence

    f (n + 1) = f (n) + 2 ← recursive formula
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