1.1/2-1/6-1/12-1/20-1/30-1/422.1-1/2-1/6-1/12-1/20-…-1/(2003*2004)

问题描述:

1.1/2-1/6-1/12-1/20-1/30-1/42
2.1-1/2-1/6-1/12-1/20-…-1/(2003*2004)

1、1/2-1/6-1/12-1/20-1/30-1/42=1/7
1-1/2-1/6-1/12-1/20-…-1/2003x2004
=1-(1-1/2)-(1/2-1/3)-...-(1/2003-1/2004)
=1-1/2-1/2+1/3-1/3+1/4-1/4+1/5……1/2003+1/2004=1/100
=1/2004

啊啊啊啊啊。复杂啊。。你能用文字吗?
数字看到眼花啊

2道题目的方法是一样的1/2=1 -1/21/6=1/2-1/31/12=1/3-1/4……1/2-1/6-1/12-1/20-1/30-1/42 =1-1/2+1/2-1/3+1/3-1/4+……+1/6-1/7=1-1/7=6/7第二题=1-1/2+1/2-1/3+1/3-1/4+……+1/2004-1/2004 =1-1/2004=2003/2004...