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
答
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.