What is the next three terms to a sequence -1/3125, 1/625, -1/125, 1/25

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What is the next three terms to a sequence -1/3125, 1/625, -1/125, 1/25

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Jasmine 4 weeks 2021-12-29T04:19:40+00:00 1 Answer 0 views 0

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    2021-12-29T04:20:46+00:00

    Answer:

    -1/3125, 1/625, -1/125, 1/25 , -(1÷5) , 1 , -5

    Step-by-step explanation:

    1÷625÷(-1÷3 125) = -5

    -1÷125÷(1÷625) = -5

    (1÷25)÷(-1÷125) = -5

    Then the common ratio of the geometric sequence is -5 then we keep multiplying by -5 each time to get the next term:

    (1÷25)×(-5) = -(1÷5)

    -(1÷5)×(-5) = 1

    (1)×(-5) = -5

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