求1/2*4+1/4*6+1/6*8+…+1/2012*2014

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求1/2*4+1/4*6+1/6*8+…+1/2012*2014
求1/2*4+1/4*6+1/6*8+…+1/2012*2014

求1/2*4+1/4*6+1/6*8+…+1/2012*2014
=1/2*(1/2-1/4+1/4-1/6+1/6-1/8+……+1/2012-1/2014)
=1/2*(1/2-1/2014)
=503/2014

=1/2*(1/2-1/4+1/4-1/6+1/6-1/8+……+1/2012-1/2014)
=1/2*(1/2-1/2014)
=503/2014

1/2×4+1/4×6+1/6×8+……+1/2012×2014
=1/2(1/2-1/4+1/4-1/6+......1/2012-1/2014)
=1/2(1/2-1/2014)
=1/2(1006/2014)
=503/2014