Tính tổng: S=1/2022 – 5/2.4 – 5/4.6 -…- 5/2020.2022

Tính tổng:
S=1/2022 – 5/2.4 – 5/4.6 -…- 5/2020.2022

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  1. `S= 1/2022 – 5/2.4 – 5/4.6 -…-5/2020.2022`

    `S= 1/2022 – ( 5/2.4 + 5/4.6 +…+5/2020.2022)`

    Đặt `A= 5/2.4 + 5/4.6 +…+ 5/2020.2022`

    `A: 5 = 1/2.4 + 1/4.6 +…+1/2020.2022`

    `A : 5.2 = 2/2.4 + 2/4.6 +…+2/2020.2022`

    `A: 5.2 = 1/2-1/4 +1/4-1/6 +…+1/2020 – 1/2022`

    `A:5 .2 = 1/2 – 1/2022`

    `A = 505/1011`

    `A = 505/1011 : 2 .5`

    `A=2525/2022`

    `=> S= 1/2022 – 2525/2022`

    `=> S= -1262/1011`

    Vậy `S= -1262/1011`

     

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