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5 November, 09:21

Which function describes the arithmetic sequence shown?

1, - 2, - 5, - 8, - 11, ...

A) ƒ (x) = 3x + 4

B) ƒ (x) = 3x - 4

C) ƒ (x) = - 3x + 4

D) ƒ (x) = - 3x - 4

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Answers (1)
  1. 5 November, 10:29
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    C) ƒ (x) = - 3x + 4

    Step-by-step explanation:

    The arithmetic sequence has a general form:

    f = a + d (x-1)

    Where: a is the first term and d is the common difference

    For the given arithmetic sequence:

    1, - 2, - 5, - 8, - 11, ...

    a = 1

    d = - 2 - 1 = - 3

    So, f (x) = 1 + (-3) (x-1)

    ∴ f (x) = 1 - 3x + 3

    ∴ f (x) = - 3x + 4

    The answer is option C) ƒ (x) = - 3x + 4
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