Write an explicit rule for the nth term of the sequence 64,48,36,27

Question

Write an explicit rule for the nth term of the sequence

64,48,36,27

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Dulcie 4 years 2021-08-02T08:19:36+00:00 1 Answers 22 views 0

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  1. Latifah
    0
    2021-08-02T08:21:07+00:00
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    Answer:

    • aₙ = 64(3/4)ⁿ⁻¹

    Step-by-step explanation:

    Given sequence:

    • 64, 48, 36, 27

    We can observe that:

    • 27/36 = 3/4
    • 36/48 = 3/4
    • 48/64 = 3/4

    This is a GP with the first term of 64 and common ratio of 3/4.

    The equation for the nth term is:

    • aₙ = 64(3/4)ⁿ⁻¹

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