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Boll asked in Science & MathematicsMathematics · 11 months ago

In the geometric sequence, the common ratio is −2 and the 5th term is 72. What is the second term?

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  • 11 months ago
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    r = -2

    t(5) = 72

    t(n) = ar^(n - 1)

    t(5) = a(-2)^(5 - 1) = 72

    a(-2)^4 = 72

    16a = 72

    a = 72/16

    a = 4.5

    t(n) = 4.5(-2)^(n - 1)

    t(2) = 4.5(-2)^(2 - 1)

    t(2) = 4.5(-2)^1

    t(2) = 4.5(-2)

    t(2) = -9

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