1/2+1/3+2/3+1/4+2/4+3/4+……+1/60+2/60+3/60……+58/60+59/60=

来源：学生作业帮助网编辑：作业帮时间：2024/04/18 19:24:43

1/2+1/3+2/3+1/4+2/4+3/4+……+1/60+2/60+3/60……+58/60+59/60=
1/2+1/3+2/3+1/4+2/4+3/4+……+1/60+2/60+3/60……+58/60+59/60=

1/2+1/3+2/3+1/4+2/4+3/4+……+1/60+2/60+3/60……+58/60+59/60=
1/n+2/n+3/n+.(n-1)/n=(1+2+3+.n-1)/n=(n-1)/2
1/2+1/3+2/3+1/4+2/4+3/4+……+1/60+2/60+3/60……+58/60+59/60
=1/2+(3-1)/2+(4-1)/2+.+(60-1)/2
=(1+2+3.+59)/2
=60*59/4
=885

1 2 3 4 1 2 3 4 1 2 3 4 1,2,3,4, 1 2 3 4 1 2 3 4 1,2,3,4, 1,2,3,4, 1,2,3,4, 1,2,3,4, 1 2 3 4 1,2,3,4, 1,2,3,4, 1,2,3,4, 1、2、3、4 1+2+3×4 1,2,3,4 1+2+3+4+.