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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 + 1/6 – 1/8 + … + 1/2008 – 1/2010)
    = 2(1/2 – 1/2010)
    = 2(502/1005)
    = 1004/1005

  2. 4/(2×4)+4/(4×6)+4/(6×8)+………..+ 4/(2008×2010)
    = (2/(2×4)+2/(4×6)+2/(6×8)+……….+2/(2008×2010))÷2×4
    = (1/2-1/4+1/4-1/6+1/6-1/8+………..+1/2008-1/2010)×2
    = (1/2-1/2010)×2
    = 1004/2010×2
    =1004/1005

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

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