13.1/(12×13)+1/(13×14)+……+1/(19×20)的值為:A.1/12 B.1/20 C.1/30 D.1/40
熱心網友
選 C1/(12×13)=1/12-1/131/(13×14)=1/13-1/14所以原式=1/12-1/13+1/13-1/14+....+1/19-1/20=1/12-1/20=1/30
13.1/(12×13)+1/(13×14)+……+1/(19×20)的值為:A.1/12 B.1/20 C.1/30 D.1/40
選 C1/(12×13)=1/12-1/131/(13×14)=1/13-1/14所以原式=1/12-1/13+1/13-1/14+....+1/19-1/20=1/12-1/20=1/30