(30/1+30/2+30/3+。。。+30/29)+(40/1+40/2+40/3+。。。40/39)
(用简便方法计算)
(30/1+30/2+30/3+。。。+30/29)+(40/1+40/2+40/3+。。。40/39)
(用简便方法计算)
楼主弄错了。/左边是分子。右边是分母
应该是1/30+2/30+3/30+,,,+29/30)+(1/40+2/40+...39/40)
=1+2+3+...+29)/30+(1+2+3+...+39)/40
={(1+29)*29/2}/30+{(1+39)*39/2}/40
=29/2+39/2
=68/2
=34
则S=(30/29+30/28+30/27+。。。+30/1)+(40/39+40/38+40/37+。。。40/1)
两式相加,得:2S=29+39=68
于是 S=34