计算:2/1*3+3/3*6+4/6*10+5/10*15+……+10/45*55,怎么算,

问题描述:

计算:2/1*3+3/3*6+4/6*10+5/10*15+……+10/45*55,怎么算,

原式=1/1-1/3 +1/3-1/6 +1/6-1/10 +1/10-1/15 +…… +1/45-1/55
=1-1/55 =54/55