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

Toán Lớp 6: TINH C=(1+1/1.3)(1+1/2.4)(1+1/3.5)-(1+1/2014.2016)

Toán Lớp 6: TINH
C=(1+1/1.3)(1+1/2.4)(1+1/3.5)….(1+1/2014.2016)

Comments ( 2 )

  1. C = (1 + 1/(1.3)) . (1 + 1/(2.4)) . (1 + 1/(3.5)) . … . (1 + 1/(2014.2016))
    C = (3/3 + 1/(1.3)) . (8/8 + 1/(2.4)) . (15/15 + 1/(3.5)) . … . (4060225/4060225 . 1/(2014.2016))
    C = (2^2)/(1.3) . (3^2)/(2.4) . (4^2)/(3.5) . … . (2015^2)/(2014.2016)
    C = (2.3.4 …. .2015)/(1.2.3….2014) . (2.3.4….2015)/(3.4.5…..2016)
    C = 2015 . 1/1008
    C = 2015/1008
     

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    C=2.2/1.3×3.3/2.4×4.4/3.5…2015.2015/2014.2016
    =2.3.4.5…2015/1.2.3…2014×2.3.4.5…2015/3.4.5…2016
    =2015.2/2016=2015.1/1008=2015/1008
     

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

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