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

Toán Lớp 6: A=1/4+1/4 mũ 2 + 1/4 mũ 3 +…+1/4 mũ 2000

Toán Lớp 6: A=1/4+1/4 mũ 2 + 1/4 mũ 3 +…+1/4 mũ 2000

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    A=1/4+1/4^2+1/4^3+…+1/4^2000
    =>4A=4(1/4+1/4^2+1/4^3+…+1/4^2000)
    =>4A=1+1/4+1/4^2+…+1/4^1999
    =>4A-A=(1+1/4+1/4^2+…+1/4^1999)-(1/4+1/4^2+1/4^3+…+1/4^2000)
    =>3A=1-1/4^2000
    =>A=(4^2000/4^2000-1/4^2000)/3
    =>A=(4^2000-1)/4^2000 :3
    =>A=(4^2000-1)/4^2000 .1/3
    =>A=(4^2000-1)/(3.4^2000)

  2. A = 1/4 + 1/4^2 + 1/4^3 + …. + 1/4^2000
    4A = 1 + 1/4 + 1/4^2 + …. + 1/4^1999
    4A – A = ( 1 + 1/4 + 1/4^2 + …. + 1/4^1999 ) – ( 1/4 + 1/4^2 + 1/4^3 + …. + 1/4^2000 )
    3A = 1 – 1/4^2000
    A = ( 4^2000 – 1 )/4^2000
    A = ( 4^2000 – 1 )/4^2000 : 3
    A = ( 4^2000 – 1 )/( 4^2000 . 3 )
    Vậy , A = ( 4^2000 – 1 )/( 4^2000 . 3 ) .

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

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