1/6=1/2-1/3,1/12=1/3-1/4,1/20=1/4-1/5,根据以上规律计算下题.1/6+1/12+1/20+1/30+1/42+1/56+1/72

问题描述:

1/6=1/2-1/3,1/12=1/3-1/4,1/20=1/4-1/5,根据以上规律计算下题.1/6+1/12+1/20+1/30+1/42+1/56+1/72

1/6+1/12+1/20+1/30+1/42+1/56+1/72
=1/2-1/3+1/3-1/4+1/4-1/5+.+1/8-1/9
=1/2-1/9
=9/18-2/18
=7/18