1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=

来源：学生作业帮助网编辑：六六作业网时间：2024/05/16 05:10:59

1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/

1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=

1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=
原式=1-1/2+1/2-1/3+1/3-1/4-1/4-1/5+1/5-1/6+.+1/11-1/12
=1-1/12
=11/12