/25+1/58+1/811+...+1/20032006

分类: 作业答案 • 2022-09-26 15:51:48

问题描述：

/2*5+1/5*8+1/8*11+...+1/2003*2006

答

=1/3*((1/2-1/5)+(1/5-1/8)+(1/8-1/11)+...+1/2003-1/2006)
=1/3*(1/2-1/2006)
=1/3*(501/1003)
=167/1003

/2*5+1/5*8+1/8*11+...+1/2003*2006