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22 September, 18:01

B. A geometric sequence with a fifth term of

1/3 and a constant ratio of 1/3

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Answers (1)
  1. 22 September, 18:48
    0
    The geometric sequence is 27,9,3,1,1/3, 1/9,1/27 ...

    Step-by-step explanation:

    We have given the 5th term a5 = 1/3

    Constant ratio r = 1/3

    a5 = a 1 * r^4

    1/3 = a1 * (1/3) ^4

    1/3 = a1 * 1/81

    a1 = 1/3 : 1/81

    We can solve it as:

    a1 = 1/3 * 81

    a1 = 27

    Thus the geometric sequence is 27,9,3,1,1/3, 1/9,1/27 ...
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