1/1x4+1/4x7+1/7x10+……+1/2005x2008

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/11/06 10:01:07

1/1x4+1/4x7+1/7x10+……+1/2005x2008
佼佼我

1/1*4=1/3*(1/1-1/4)
1/4*7=1/3*(1/4-1/7)
依次可得：
原式=1/3*(1-1/4+1/4-1/7+1/7-1/10……+1/2002-1/2005+1/2005+1/2008)
=1/3*(1-1/2008)
=1/3*2007/2008
=669/2008

1/1x4+1/4x7+1/7x10+……+1/2005x2008 1X4/1+4X7/1+7X10/1+…+2005X2008/1=? 计算1/1x4+1/4x7+1/7x10+.+1/2002x2005+1/2005x2008 1/1x4+1/4x7+1/7x10+……+1/97x100 100x( 3/1x4 + 3/4x7 +3/7x10 +.3/97x100)=?注：1x4、4x7、7x10等均为分母 1/1x4+1/4x7+1/7x10+1/10x13+1/13X16 简便计算1/1x4+1/4x7+1/7x10+***+1/2007x2010 1/1X4+1/4X7+1/7X10+...+1/100X103= 1/(1x4)+1/(4x7)+1/(7x10)+...+1/(91x94) 1/1X4+1/4X7+1/7X10+.+1/2002X2005=? 1/1x4 +1/4x7+1/7x10+.+1/100x103 急用啊小学分数题：1/1x4+1/4x7+1/7x10+.+1/97x100