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8 June, 06:34

Find an

explicit formula for the geometric sequence 120, 60, 30, 15, ...

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Answers (2)
  1. 8 June, 06:36
    0
    f (n) = 120 * (1/2) ^n

    Step-by-step explanation:

    First the first number is 120, so we get y = 120, then 60/120 = 1/2

    So we no the r, or constant rate is 1/2.

    After that, we can finish our equation by doing

    f (n) = 120 * (1/2) ^n

    or

    y = 120 * (1/2) ^x
  2. 8 June, 06:45
    0
    120 (0.5) ^x-1

    Step-by-step explanation:

    If we look at the sequence we can see that the sequence is decreasing by 1/2 of the other or dividing by 2.

    120/2 = 60 60/2 = 30 ...

    So, we know the multiplier is 1/2 or 0.5

    So ...

    120 (0.5) ^x-1
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