Enter the explicit rule for the geometric sequence. 60,12,12/5,12/25,12/125,…

Question

Enter the explicit rule for the geometric sequence. 60,12,12/5,12/25,12/125,…

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Bella 46 mins 2021-09-10T22:14:32+00:00 2 Answers 0

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    0
    2021-09-10T22:15:38+00:00

    Answer:

    see explanation

    Step-by-step explanation:

    The n th term (explicit rule) of a geometric sequence is

    a_{n} = a₁ (r)^{n-1}

    where a₁ is the first term and r is the common ratio

    here a₁ = 60 and r = \frac{12}{60} = \frac{1}{5}, hence

    a_{n} = 60 (\frac{1}{5}) ^{n-1}

    0
    2021-09-10T22:15:55+00:00

    Answer:

    60(1/5)^(n-1).

    Step-by-step explanation:

    The common ratio  r   is 12/60 = 12/5 / 12  = 12/25 / 12/5 = 1/5.

    The first term a1 = 60 so the explicit rule is

    a1 * r^(n-1)

    = 60(1/5)^(n-1).

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