求1/2*4+1/4*6+1/6*8+…+1/2012*2014
问题描述：
求1/2*4+1/4*6+1/6*8+…+1/2012*2014
答
=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
答
=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