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

Toán Lớp 6: a) Tính nhanh 2021.1001-2021 b) cho : S = 1+ 5^2+ 5^4+ 5^6+-..+5^2020

Toán Lớp 6: a) Tính nhanh
2021.1001-2021
b) cho :
S = 1+ 5^2+ 5^4+ 5^6+……+5^2020

Comments ( 2 )

  1. Lời giải và giải thích chi tiết:
    a)
    2021 . 1001 – 2021
    = 2021 . (1001 – 1)
    = 2021 . 1000
    = 2021000
    b)
    S = 1 + 5^2 + 5^3 + …………..+ 5^2020
    5S = 5 + 5^3 + ………..+ 5^2021
    ⇒ 5S – S = (5 + 5^3 + ………..+ 5^2021) – (1 + 5^2 + 5^3 + …………..+ 5^2020)
    ⇒ 4S = 5^2021 + 5 – 1 – 5^2
    ⇒ 4S = 5^2021 -21
    ⇒ S = (5^2021 – 21)/4

  2. a)Tính nhanh
    2021.1001-2021
    =2021.1000
    =2021000
    b) Cho: S = 1+ 5^2+ 5^4+ 5^6+……+5^2020
    =>S.5=5.(1+ 5^2+ 5^4+ 5^6+……+5^2020)
    =>S.5=5^1+ 5^2+ 5^4+ 5^6+……+5^2020+5^2021
    =>S.5-S=(5^1+ 5^2+ 5^4+ 5^6+……+5^2020+5^2021)-(1+ 5^2+ 5^4+ 5^6+……+5^2020)
    =>S.5-S=5^2021-1
    =>S.4=5^2021-1
    =>S=5^2021-1:4
    ~Học tốt nhen
    Nhớ tick nhé<3

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

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