1+1/2+1/6+1/12+……+1/56
=1+(1/1)×(1/2)+(1/2)×(1/3)+(1/3)×(1/4)+……+(1/7)×(1/8)
=1+(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/7-1/8)
=1+1/1-1/8
=15/8
对的,我们老师讲过!
1+1/2+1/6+1/12+……+1/56
=1+(1/1)×(1/2)+(1/2)×(1/3)+(1/3)×(1/4)+……+(1/7)×(1/8)
=1+(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/7-1/8)
=1+1/1-1/8
=15/8
对的,我们老师讲过!