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问题: 来帮忙啊

数学题:(1-1/2)+(1/2-1/30)+(1/3-1/4)+......+(1/1999-1/2000)=多少数学题:(1-1/2)+(1/2-1/30)+(1/3-1/4)+......+(1/1999-1/2000)=多少

解答:

(1-1/2)+(1/2-1/3)+(1/3-1/4)+......+(1/1999-1/2000)
=1+(1/2-1/2)+(1/3-1/3)+(1/4-1/4)+...+(1/1999-1/1999)-1/2000
=1-1/2000
=1999/2000
=0.9995