计算:[1+(-1/2)]+[1/2+(-1/3)]+[1/3+(-1/4)]+……+[1/1999+(-1/2000)]
问题描述:
计算:[1+(-1/2)]+[1/2+(-1/3)]+[1/3+(-1/4)]+……+[1/1999+(-1/2000)]
答
2001/2000
答
把中括号全部打开,-1/2和1/2消掉,-1/3和1/3消掉.
则
原式=1-1/2000
=1999/2000