1/2+1/3+2/3+1/4+2/4+3/4+…+1/60+2/60+…+59/60.

问题描述:

1
2
+
1
3
+
2
3
+
1
4
+
2
4
+
3
4
+…+
1
60
+
2
60
+…+
59
60

12+13+23+14+24+34+…+160+260+…+5960,=12+(13+23)+(14+24+34)+…+(160+260+…+5960)=12+1+32+…+592=12+22+32+…+592=(1+2+3+4+…+59)÷2=(1+59)×59÷2÷2=60×59÷4=59×15=885.