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

Toán Lớp 7: Tính Nhanh S=1/2013-1/2013.2012-1/2012.2011-1/2011.2010=1/3.2-1/2.1 Giúp em với ạ,50đ á mn;(

Toán Lớp 7: Tính Nhanh
S=1/2013-1/2013.2012-1/2012.2011-1/2011.2010-….-1/3.2-1/2.1
Giúp em với ạ,50đ á mn;(

Comments ( 1 )

  1. Ta có:
    S = 1/2013 – 1/(2013.2012) – 1/(2012.2011) – …- 1/(3.2) -1/(2.1)
    = 1/2013 – (1/(2013.2012) + 1/(2012.2011) +…+ 1/(3.2) + 1/(2.1))
    = 1/2013 – (1/(1.2) + 1/(2.3) +…+ 1/(2011.2012) + 1/(2012.2013))
    = 1/2013 – (1 – 1/2 + 1/2 – 1/3 +…+ 1/2011 – 1/2012 +1/2012 – 1/2013)
    = 1/2013 – (1 – 1/2013)
    = 1/(2013) – 2012/2013
    = (-2011)/2013
    #Mon
     

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