1/2*4+1/4*6+1/6*8+1/8*10+1/10*12.+1/2010*2012

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1/2*4+1/4*6+1/6*8+1/8*10+1/10*12.+1/2010*2012
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1/2*4+1/4*6+1/6*8+1/8*10+1/10*12.+1/2010*2012
1/2*4+1/4*6+1/6*8+1/8*10+1/10*12.+1/2010*2012

1/2*4+1/4*6+1/6*8+1/8*10+1/10*12.+1/2010*2012
1/2*4+1/4*6+1/6*8+1/8*10+1/10*12.+1/2010*2012
=1/2*(1/2-1/4+1/4-1/6+...+1/2010-1/2012)
=1/2*(1/2-1/2012)
=1/2*1005/2012
=1005/4024

1/2*4+1/4*6+1/6*8+…+1/2010*2012
=1/2(1/2-1/4+1/4-1/6+1/6-1/8+……+1/2010-1/2012)
=1/2*(1/2-1/2012)
=1005/4024

2011/4024