Find the explicit formula for the given sequence. 4, 24, 144,864, –

Question

Find the explicit formula for the given sequence.
4, 24, 144,864, ….

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Rose 2 weeks 2021-09-12T06:59:14+00:00 2 Answers 0

Answers ( )

    0
    2021-09-12T07:01:07+00:00

    Answer:

    x * 6

    Step-by-step explanation:

    4 * 6 = 24

    24 * 6 = 144

    144 * 6 = 864

    0
    2021-09-12T07:01:11+00:00

    Answer:

    a_{n} = 4(6)^{n-1}

    Step-by-step explanation:

    Note the terms in the sequence have a common ratio, that is

    r = 24÷ 4 = 144÷ 24 = 864 ÷ 144 = 6

    This indicates the sequence is geometric with n th term

    a_{n} = a(r)^{n-1}

    where a is the first term and r the common ratio

    Here a = 4 and r = 6, thus

    a_{n} = 4(6)^{n-1} ← explicit formula

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