根据后面的规律计算,如1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4.1/6+1/12+1/20+1/30+_数学解答

根据后面的规律计算,如1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4.
1/6+1/12+1/20+1/30+1/42

人气：293 ℃　时间：2019-11-14 14:48:41

解答

1/6+1/12+1/20+1/30+1/42
=(1/2-1/3)+(1/3-1/4)+1/4-1/5+1/5-1/6+1/6-1/7
=1/2-1/7
=5/14