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

Toán Lớp 7: 4\2×4 + 4\4×6 + 4\6×8 +–..+ 4\2008+2010

Toán Lớp 7: 4\2×4 + 4\4×6 + 4\6×8 +……….+ 4\2008+2010

Comments ( 2 )

  1. 4/2.4 + 4/4.6 + 4/6.8 +…+ 4/2008.2010
    = 2( 2/2.4 + 2/4.6 + 2/6.8 +…+ 2/2008.2010)
    =2 ( 1/2 – 1/4 + 1/4 – 1/6 +…+ 1/2008 – 1/2010)
    =2( 1/2 – 1/2010)
    = 2 . (1005/2010 – 1/2010)
    =2 .  502/1005
    = 1004/1005

  2. 4/(2*4)+4/(4*6)+4/(6*8)+…+4/(2008*2010)
    =4/2(2/(2*4)+2/(4*6)+…+2/(2008*2010)
    =2(1/2-1/4+1/4-1/6+…+1/2008-1/2010)
    =2[1/2+(-1/4+1/4)+(-1/6+1/6)+…+(-1/2008+1/2008)-1/2010]
    =2(1/2-1/2010)
    =2(1005/2010-1/2010)
    =2*502/1005
    =1004/1005
    $\text{@ThanhTruc2008}$

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

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