计算1/1*2+1/2*3+1/3*4+…+1/2004*2005.
3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
计算1+2+3+1+5+4+...+2004+2005+2004+...+4+3+2+1
计算:2005×(1/1×2+1/2×3+1/3×4+…+1/2003×2004+1/2004×2005)
计算:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+······+|1/2005-1/2004|=|
1.计算1-2+3-4+5-6+…… -2004+2005.
1、计算:1-2+3-4+5-6+.2004+2005
1+2+3+4……+2004+2005+2004……+4+3+2+1=?
用规律计算:(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+``````+(-1/2004*1/2005)
1/2+1/(2*3)+1/(3*4)+.+1/(2004*2005)+1/(2005*2006)
一道计算题,容易啦1/1*2+1/2*3+1/3*4+...+1/2004*2005
“简便计算:|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2005-1/2004