The 100th term of 8, 8^4, 8^7, 8^10, …

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The 100th term of 8, 8^4, 8^7, 8^10, …

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Dâu 3 years 2021-07-31T20:59:39+00:00 2 Answers 6 views 0

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  1. taiduc
    0
    2021-07-31T21:00:49+00:00
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    Answer:

    8^{298} \\8^{3(n-1)+1}

    Step-by-step explanation:

  2. sori
    0
    2021-07-31T21:01:31+00:00
    Reply

    Answer:

    8^298

    Step-by-step explanation:

    n = 1, 8^(1 + 0 * 3)

    n = 2, 8^(1 + 1 * 3)

    n = 3, 8^(1 + 2 * 3)

    n = 4, 8^(1 + 3 * 3)

    The exponent of 8 is 1 added to product of 1 less than the term number multiplied by 3.

    n = n, 8^(1 + [n – 1] * 3) = 8^(1 + 3n – 3) = 8^(3n – 2)

    For n = 100, the exponent is

    3n – 2 = 3(100) – 2 = 300 – 2 = 298

    Answer: 8^298

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