1/6+1/12+1/20+1/30+...=1/2005*2006_数学解答

1/6+1/12+1/20+1/30+...=1/2005*2006

人气：429 ℃　时间：2020-04-18 11:54:13

解答

原式
=1/2x3+1/3x4+1/4x5+……+1/2005x2006
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2005-1/2006
=1/2-1/2006
=1003/2006-1/2006
=1002/2006
=501/1003