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24 February, 06:51

Write the explicit formula for the geometric sequence. Then find the fifth term in the sequence.

a1 = - 4, a2 = 8, a3 = - 16

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  1. 24 February, 07:10
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    The sequence: a 1 = - 4, a 2 = 8, a 3 = - 16, ...

    a 2 = a 1 * r

    8 = - 4 * r

    r = 8 : ( - 4)

    r = - 2

    a n = a 1 * r^ (n-1)

    a 5 = - 4 * ( - 2) ^4 = - 4 * 16 = - 64

    Answer:

    The fifth term in the sequence is - 64.
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