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

Toán Lớp 5: 1/1×2+1/2×3+1/3×4+-+1/2020×1/2021+1/2021×2022

Toán Lớp 5: 1/1×2+1/2×3+1/3×4+….+1/2020×1/2021+1/2021×2022

Comments ( 2 )

  1. \frac{1}{1xx2} + \frac{1}{2xx3} + \frac{1}{3xx4} +…..+ \frac{1}{2020xx2021}+ \frac{1}{2021xx2022}  
     = 1 – 1/2 + 1/2 – 1/3 + 1/3 – 1/4 + …. + 1/2020 – 1/2021 + 1/2021 – 1/2022
    = 1- 1/2022
    = 2022/2022 – 1/2022
    = 2021/2022

  2. 1/(1 xx 2) + 1/(2 xx 3) +1/(3 xx4) +….+ 1/(2021 xx 2022)
    = (2-1)/(1xx2) + (3-2)/(2 xx3)+ (4-3)/(3 xx4) +…+ (2022 – 2021)/(2021 xx 2022)
    = 1/1- 1/2 + 1/2 – 1/3 + 1/3  – 1/4+…+1/2021 – 1/2022
    = 1 – 1/2022
    = 2022/2022 – 1/2022
    = 2021/2022
     

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