找规律1/2×4+1/4×8+1/6×8+……+1/2012×2014=

分类: 作业答案 • 2022-06-24 20:28:57

问题描述：

答

1/2×4+1/4×6+1/6×8+……+1/2012×2014
=（1/2-1/4+1/4-1/6+1/6-1/8+……+1/2012-1/2014）÷2
=（1/2-1/2014）÷2
=503/1007÷2
=503/2014

答

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