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

Toán Lớp 7: cho A= 1/5+1/5^2+-+1/5^2016 chứng minh A<1/4

Toán Lớp 7: cho A= 1/5+1/5^2+….+1/5^2016 chứng minh A<1/4

Comments ( 2 )

  1. $\\$
    A=1/5+1/5^2+…+1/5^{2016}
    -> 1/5 A = 1/5^2+1/5^3+…+1/5^{2017}
    ->A-1/5A = (1/5+1/5^2+…+1/5^{2016})-(1/5^2+1/5^3+…+1/5^{2017})
    -> 4/5 A = 1/5 – 1/5^{2017}
    ->A=(1/5 – 1/5^{2016}) . 5/4
    ->A = 1/4 – 1/(5^{2015} . 4) < 1/4
    ->A<1/4
     

  2. Đáp án:
     
    Giải thích các bước giải:
     

    toan-lop-7-cho-a-1-5-1-5-2-1-5-2016-chung-minh-a-1-4

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