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19 November, 23:49

Which of the following choices is the explicit formula for the following geometric sequence?

-0.1, 0.02, - 0.004, 0.0008, - 0.00016

A. an = 0.1 (0.2) n

B. an = 0.1 (-0.2) n-1

C. an = - 0.1 (-0.2) n-1

D. an = 0.2 (-0.2) n-1

E. an = - 0.1 (0.2) n-1

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Answers (1)
  1. 20 November, 00:27
    0
    Common ratio (r) can be found by dividing the second term by the first term.

    0.02 / - 0.1 = - 0.2

    an = a1 * r ^ (n - 1)

    a1 = first term = - 0.1

    r = common ratio = - 0.2

    an = - 0.1 (-0.2) ^ (n - 1) ... answer is C
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