(1-1/2^2)*(1-1/3^2)*(1-1/4^2)*.*(1-1/2002^2)*(1-1/2003^2)
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(1-1/2^2)*(1-1/3^2)*(1-1/4^2)*.*(1-1/2002^2)*(1-1/2003^2)
(1-1/2^2)=1/2*3/2
(1-1/3^2)=2/3*4/3
.
(1-1/2^2)*(1-1/3^2)*(1-1/4^2)*.*(1-1/2002^2)*(1-1/2003^2)
=1/2*3/2*2/3*4/3*3/4*5/4*.*2002/2003*2004/2003
=1/2*2004/2003
=1002/2003
(1-1/3^2)=2/3*4/3
.
(1-1/2^2)*(1-1/3^2)*(1-1/4^2)*.*(1-1/2002^2)*(1-1/2003^2)
=1/2*3/2*2/3*4/3*3/4*5/4*.*2002/2003*2004/2003
=1/2*2004/2003
=1002/2003
计算(1/2+1/3+...+1/200.)(1+1/2+...+1/2002)-(1+1/2+...+1/2003)(
数学计算题:2003 1/2-2002 1/3+2001 1/2-2000 1/3```+1 1/2-1/3
2003-2002+2001-2000+.+3-2+1
2003+2002+2001+、、、+3+2+1=?
|1/2004-1/2003|+|1/2002-1/2003|+.+|1/2-1|等于多少 |1/2004-1/2003
1/2+(1/3+2/3)+(1/4+2/4+3/4)+...+(1/2002+2/2002+3/2002+...+20
(1-1/2-1/3-1/4-……-1/2003)(1/2+1/3+1/4+...+1/2004)-(1-1/2-1/3
(1/2+1/3+1/4+…+2002)*(1+1/2+1/3+1/4+…1/2001)-
1;(1-1/2^2)(1-1/3^2)(1-1/4^2)````````````(1-1/99^2)(1-1/100^
化简(1/2+1/3+...1/2003)*(1+1/2+...1/2004)-(1+1/2+...1/2004)*(1
(1+1/2)*(1+1/3)*(1+1/4)*(1+1/5)*……*(1+1/2002)简便计算
2*3分之1+3*4分之1+、、、+2001*2002分之1+2002*2003分之1=?