计算:-1/(1×11)-1/(11×12)-1/(12×13)-…-1/(19×20)

问题描述:

计算:-1/(1×11)-1/(11×12)-1/(12×13)-…-1/(19×20)

原式=-(1/10-1/11+1/11-1/12+1/12-…-1/19+1/19-1/20)
=-(1/10-1/20)
=-1/10