3道初一思考题1.1/2-1/6-1/12-1/20-1/30-1/422.1-1/2-1/6-1/12.-1/2003*20043.1/2-1/4-1/8-1/16.-1/512/1/1024
问题描述：
3道初一思考题
1.1/2-1/6-1/12-1/20-1/30-1/42
2.1-1/2-1/6-1/12.-1/2003*2004
3.1/2-1/4-1/8-1/16.-1/512/1/1024
答
1. =1/2-(1/2-1/3)-(1/3-1/4)-(1/4-1/5)-(1/5-1/6)-(1/6-1/7)=1/7
2. =1-(1-1/2)-(1/2-1/3)-(1/3-1/4)-...-(1/2003-1/2004)=1/2004
3. =1/2-(1/2-1/4)-(1/4-1/8)-...-(1/256-1/512)-(1/512-1/1024)=1/1024
答
1、1/72、1/20043、1/10241、1/2-（1/2-1/3）-(1/3-1/4)-.-(1/6-1/7)=1/72、1-(1-1/2)-(1/2-1/3)-.(1/2003-1/2004)=1/20043、1/2-(1/2-1/4)-(1/4-1/8)-(1/8-1/16)-.-(1/512-1/1024)=1/1024楼主应该看明白规律了吧!...