商场保洁工作流程:1/2×3+1/3×4+1/4×5+……+1/2003×2004怎么解？

来源：百度文库编辑：高校问答时间：2024/04/20 12:27:06

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

1/1*2+1/2*3+1/3*4+...+1/2000*2001 1/(1*2)+1/(2*3)+1/(3*4)+..+1/(99*100) 1/1+1/2+1/3+1/4+。。。。+1/N 是多少 3/2,2/3,3/4,1/3,3/8,( ) 1/1*2+1/2*3+1/3*4+1/4*5+...+1/1999*2000 1*1/1*2+2*1/2*3+3*1/3*4+......+99*1/99*100 1*1/1*2+2*1/2*3+3*1/3*4+......+99*1/99*100 1/2+1/3+1/4+1/5+。。。。。1/50=？？？ 199*(1-2/1)*(-3/1)*(-4/1)*.........*(1-199-/1)=? s=1/1+1/1!+1/2！+1/3！+1/4！+....+1/25!