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30 October, 03:56

Find the common ratio of the geometric sequence: - 320,80,-20,5

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Answers (2)
  1. 30 October, 04:22
    0
    Answer: - 0.25

    Step-by-step explanation:

    320/80=4

    5/-0.25 = - 20

    -20 / - 0.25=80

    80/-0.25=-320

    That's how I double confirm the answer I got works.
  2. 30 October, 04:25
    0
    -1/4 if you prefer the answer written as a fraction.

    -0.25 is you prefer the answer written as a decimal.

    Step-by-step explanation:

    Common ratio of a geometric sequence can be found by doing term divided by previous term.

    That is you could do:

    80/-320

    or

    -20/80

    or

    5/-20

    If all these ratios are not equal, it isn't a geometric sequence and does not have a common ratio.

    Let's see what these reduce to:

    80/-320=1/-4 = -1/4 or - 0.25

    -20/80=-1/4 or - 0.25

    5/-20=1/-4=-1/4 or - 0.25

    So the common ratio is - 0.25 or yo you can write it as - 1/4.
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