vim进入命令模式:1/2×3+1/3×4+1/4×5+……+1/2003×2004怎么解?

来源:百度文库 编辑:高考问答 时间:2024/05/06 03:06:11

1/2×3+1/3×4+1/4×5+……+1/2003×200
=1/2-1/3+1/3-1/4+1/4-1/5=……+1/2003-1/2004
=1/2-1/2004
=1001/2004

1/2×3+1/3×4+1/4×5+……+1/2003×2004
=1/2-1/3+1/3-1/4+1/4-1/5=……+1/2003-1/2004
=1/2-1/2004
=1001/2004

高中集合里的简单题,学了之后就更明白了

1/2×3+1/3×4+1/4×5+……+1/2003×200
=1/2-1/3+1/3-1/4+1/4-1/5=……+1/2003-1/2004
=1/2-1/2004
=1001/2004

原试=1/2-1/3+1/3-1/4......+1/2003-1/2004
=1/2-1/2004=1001/2004