1/2+1/(2×3)+1/(3×4)……1/(2004×2005)怎么做
4个回答
1/2+1/(2×3)+1/(3×4)……1/(2004×2005)
=1-1/2+1/2-1/3……+1/2004-1/2005
=1-1/2005
=2004/2005
相关问题
2005×(1×2/1+2×3/1+3×4/1+···+2003×2004/1+2004×2005/1)=?
计算:2005×(1/1×2+1/2×3+1/3×4+…+1/2003×2004+1/2004×2005)
(1/1×2)+(1/2×3)+(1/3×4)+(1/4×5)+.+(1/2004×2005)
计算:1/1×2+1/2×3+1/3×4+...+1/2004×2005+1/2005×2006×1/2006×2007
[2005/1×2]+[2005/2×3]+[2005/3×4]+[2005/4×5]+…+[2005/2004×200
(1-2)×(2-3)×(3-4)×...×(2004-2005)×(2005-2006)×(2006-2007)×(2
(1-1/2005)+(1-1/2005×2)+(1-1/2005×3)+...+(1-1/2005×2004)+(1-
1/1×2+1/2×3+1/3×4.+1/2005×2006
1×2分之1+2×3分之1+3×4分之1+4×5分之1+……+2004×2005分之1=?
计算:2005×2004-2004×2003+2003×2002-2002×2001+…+3×2-2×1=______.