计算:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+······+|1/2005-1/2004|=|

问题描述:

计算:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+······+|1/2005-1/2004|=|

首先去掉括号,-1/2+1/3+1/4-1/3+1/5-1/4……不难发现可以约掉,所以到最后应该是-1/2+1/2005=-2003/4010