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

Toán Lớp 6: 2/1×3 + 2/3×5 + 2/5×7 +…+ 2/2021×2023

Home/ Toán Lớp 6: 2/1×3 + 2/3×5 + 2/5×7 +…+ 2/2021×2023

Toán Lớp 6: 2/1×3 + 2/3×5 + 2/5×7 +…+ 2/2021×2023

Tháng Tám 21, 2022 Toán học 2 Comments 0 views

Toán Lớp 6: 2/1×3 + 2/3×5 + 2/5×7 +…+ 2/2021×2023

Comments ( 2 )

  1. cobelolen
    cobelolen
    21 Tháng Tám, 2022 at 3:02 sáng
    Reply
    Giải đáp:
    $\dfrac{2022}{2023}$
    Lời giải và giải thích chi tiết:
    $\dfrac2{1\times3}+\dfrac2{3\times5}+\dfrac2{5\times7}\ +\,.\!.\!.+\ \dfrac2{2021\times2023}\\=\dfrac{3-1}{1\times3}+\dfrac{5-3}{3\times5}+\dfrac{7-5}{5\times7}\ +\,.\!.\!.+\ \dfrac{2023-2021}{2021\times2023}\\=1-\dfrac13+\dfrac13-\dfrac15+\dfrac15-\dfrac17\ +\,.\!.\!.+ \ \dfrac{1}{2021}-\dfrac1{2023}\\=1-\dfrac1{2023}\\=\dfrac{2022}{2023}$

  2. maianh67
    maianh67
    21 Tháng Tám, 2022 at 3:02 sáng
    Reply
    2/( 1 xx 3) + 2/( 3 xx 5) + 2/( 5 xx 7) + … + 2/( 2021 xx 2023)
    = 1 – 1/3 + 1/3 – 1/5 + 1/5 – 1/7 + … + 1/2021 – 1/2023
    = 1 – 1/2023
    = 2023/2023 – 1/2023
    = 2022/2023
    #caty09

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

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