(1-1/2005)+(1-1/2005×2)+(1-1/2005×3)+...+(1-1/2005×2004)+(1-1/2005×2005)求簡便算法,

(1-1/2005)+(1-1/2005×2)+(1-1/2005×3)+...+(1-1/2005×2004)+(1-1/2005×2005)求簡便算法,

把1提出來,有2005個1,所以
=2005-【(1+2+3+...+2005)/2005】
=2005-1003
=1002