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
1/(12×13)=(13-12)/(12×13)=1/12-1/13以此類推,原式=1/12-1/13+1/13-1/14+……+1/19-1/20 =1/12-1/20=1/30選C
熱心網友
C;原式=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
1/(12×13)=(13-12)/(12×13)=1/12-1/13以此類推,原式=1/12-1/13+1/13-1/14+……+1/19-1/20 =1/12-1/20=1/30選C
C;原式=1/12-1/20=1/30