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

Toán Lớp 5: A=(1- 1/2)x(1-1/3)x(1-1/4)x(1-1/5)/=…(1-1/2021)x(1-1/2022

Toán Lớp 5: A=(1- 1/2)x(1-1/3)x(1-1/4)x(1-1/5)/……………(1-1/2021)x(1-1/2022

Comments ( 2 )

  1. A=(1-1/2)×(1-1/3)×(1-1/4)×…×(1/2021)+(1-1/2022)
    =1/2×2/3×3/4×…×2020/2021×2021/2022
    =(1×2×3×…×2020×2021)/(2×3×4×…×2021×2022)
    =(1×1×1×…×1×1)/(1×1×1×…×1×2022)
    =1/2022
    $\text{@ThanhTruc2008}$

  2. A = ( 1 – 1/2 ) × ( 1 – 1/3 ) × ( 1 – 1/4 ) × ( 1 – 1/5 ) × … × ( 1 – 1/2021 ) × ( 1 – 1/2022 )
    A = 1/2 × 2/3 × 3/4 × 4/5 × … × 2020/2021 × 2021/2022
    A = {1 × 2 × 3 × 4 × … × 2020 × 2021}/{2 × 3 × 4 × 5 × … × 2021 × 2022}
    A = 1/2022
    #dtkc

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