1/2=1-1/2 1/6=1/2-1/3 1/12=1/3-1/4...根据上述规律计算下题:1/2+1/6+1/12+1/20+1/30=

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/23 18:07:10
1/2=1-1/21/6=1/2-1/31/12=1/3-1/4...根据上述规律计算下题:1/2+1/6+1/12+1/20+1/30=1/2=1-1/21/6=1/2-1/31/12=1/3-1/

1/2=1-1/2 1/6=1/2-1/3 1/12=1/3-1/4...根据上述规律计算下题:1/2+1/6+1/12+1/20+1/30=
1/2=1-1/2 1/6=1/2-1/3 1/12=1/3-1/4...根据上述规律计算下题:1/2+1/6+1/12+1/20+1/30=

1/2=1-1/2 1/6=1/2-1/3 1/12=1/3-1/4...根据上述规律计算下题:1/2+1/6+1/12+1/20+1/30=
原式=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6