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6 March, 01:02

What is the first term of the geometric sequence presented in the table below?

n 3 8

an 112 - 3,584

Hint: an = a1 (r) n - 1, where a1 is the first term and r is the common ratio.

a1 = - 28

a1 = - 2

a1 = - 1/2

a1 = 28

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Answers (1)
  1. 6 March, 04:23
    0
    Fron the table given:

    A3 = 112,

    A8 = - 3,584

    An = A1 * r ^ (n-1)

    => A3 = A1 (r^2) = 112

    A8 = A1 (r^7) = - 3,584

    => - 3584 / 112 = (r^7) / (r^2)

    => (r^5) = - 32

    => r = - 2

    => A1 ( - 2) ^2 = 112

    => A1 = 112 / 4 = 28

    Answer: a1 = 28
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