沈阳出租车转让信息:1/2×3+1/3×4+1/4×5+……+1/2003×2004怎么解?

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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