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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 5: 2×y+ (1/2+1/6+1/12+-+1/2020×2021)=4040/2021

Toán Lớp 5: 2×y+ (1/2+1/6+1/12+….+1/2020×2021)=4040/2021

Comments ( 2 )

  1. 2 xx y + ( 1/2 + 1/6 + 1/12+…+ 1/(2020 xx 2021)) = 4040/2021
    2 xx y + ( 1/(1xx 2) + 1/(2 xx3) + 1/(3 xx 4) +…+ 1/(2020 xx 2021)) = 4040/2021
    2 xxy + (1 -1/2 + 1/2 – 1/3+…+ 1/2020 – 1/2021) = 4040/2021
    2 xx y+( 1 – 1/2021) = 4040/2021
    2 xxy + 2020/2021 = 4040/2021
    2 xx y = 4040/2021 -2020/2021
    2 xx y =2020/2021
    y= 2020/2021 : 2
    y= 2020/2021 xx 1/2
    y=1010/2021
    Vậy y = 1010/2021

  2. Giải đáp:
    y=1010/2021
    Lời giải và giải thích chi tiết:
    2y+(1/2+1/6+1/12+…+1/(2020xx2021))=4040/2021
    =>2y+(1/(1xx2)+1/(2xx3)+1/(3xx4)+…+1/(2020xx2021))=4040/2021
    =>2y+(1-1/2+1/2-1/3+1/3-1/4+…+1/2020-1/2021)=4040/2021
    =>2y+(1-1/2021)=4040/2021
    =>2y+2020/2021=4040/2021
    =>2y=2020/2021
    =>y=1010/2021
    Vậy y=1010/2021.

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222-9+11+12:2*14+14 = ? ( )

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