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1 August, 11:55

Write an explicit formula for the sequence and find the 18th term.

12, 3, 3/4 ...

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Answers (2)
  1. 1 August, 12:00
    0
    3/4294967296

    Step-by-step explanation:

    The common ratio is

    3/12 = 1/4

    The explicit formula

    an = a1 r^ (n-1)

    an = 12 (1/4) ^ (n-1)

    The 18th term is

    a18 = 12 * (1/4) ^17

    = 3/4294967296
  2. 1 August, 12:07
    0
    Nth term = 3 * (¼) ^ (n-2)

    18th term: 3/4¹⁶

    Step-by-step explanation:

    12,3, ¾ ...

    Are terms of a Geometric progression with:

    First term = 12

    Common ratio = 3/12 = ¼

    Nth term = 12 * (¼) ^ (n-1)

    = (3*4) * (¼) ^ (n - 2)

    = 3 * (¼) ^ (n-2)

    18th term: n = 18

    12 * (¼) ^ (18-1)

    12 * (¼) ¹⁷

    3/4¹⁶ or 6.985 * 10^ (-10)
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