来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/11/17 14:10:58
简便计算1/6+1/12+1/20+1/30+.+1/2005*2006=
1/6+1/12+1/20+1/30+.+1/2005*2006=
=[1/(2*3)]+[1/(3*4)]+[1/(4*5)]+[1/(5*6)]+……+[1/(2005*2006)]
=(1/2)-(1/3)+(1/3)-(1/4)+(1/4)-(1/5)+(1/5)-(1/6)+……+(1/2005)-(1/2006)
=(1/2)-(1/2006)
=1002/2006
=501/1003