如何计算1/(3*7)+1/(7*11)+1/(11*15)+.+1/(39*43)=

问题描述:

如何计算1/(3*7)+1/(7*11)+1/(11*15)+.+1/(39*43)=

原式=1/4*[(1/3)-(1/7)+(1/7)-(1/11)+.+(1/39)-(1/43)]=1/4*[(1/3)-(1/43)]=10/129