Rút gọn 2020/1×3+2020/3×5+2020/5×7+‧‧‧‧‧+2020/2017×2019

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Rút gọn
2020/1×3+2020/3×5+2020/5×7+‧‧‧‧‧+2020/2017×2019

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Maria 3 tuần 2021-08-13T14:02:15+00:00 2 Answers 2 views 0

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    2021-08-13T14:03:24+00:00

    Bạn xem hình! Số xấu

    0
    2021-08-13T14:04:11+00:00

    Đáp án:

     

    Giải thích các bước giải:

    A=2020/1.3+2020/3.5+…+2020/2017.2019

    A=2020.(1/1.3+1/3.5+…+1/2017.2019

    A=2020/2.(2/1.3+2/3.5+…+2/2017.2019)

    A=2020/2.(1-1/3+1/3-1/5+…+1/2017-1/2019)

    A=2020/2.(1-1/2019)=2020/2.2018/2019=2038180/2019(rút gọn)

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