1/1*3*5+1/3*5*7+...+1/2001*2003*2005
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1/1*3*5+1/3*5*7+...+1/2001*2003*20051/1*3*5+1/3*5*7+...+1/2001*2003*20051/1*3*5+1/3*5*7+...+1/2001*2
1/1*3*5+1/3*5*7+...+1/2001*2003*2005
1/1*3*5+1/3*5*7+...+1/2001*2003*2005
1/1*3*5+1/3*5*7+...+1/2001*2003*2005
1/1*3*5+1/3*5*7+...+1/2001*2003*2005
=1/4(1/1*3-1/3*5)+1/4(1/3*5-1/5*7)+……+1/4(1/2001*2003-1/2003*2005)
=1/4(1/1*3-1/3*5+1/3*5-1/5*7+……+1/2001*2003-1/2003*2005)
=1/4(1/3-1/2003*2005)
=1004003/12048045
裂项求和 1/[(2n-1)*(2n+1)*(2n+3)]=1/(2n-1)*(2n+1)]-1/(2n+1)*(2n+3)] /4 所以原式=(1/3-1/2003*2005)/4
1-3+5-7+...
(1+1/3+1/5+1/7)*(1/3+1/5+1/7+1/9)-(1+1/3+1/5+1/7+1/9)*(1/3+1/5+1/7) 简算(1+1/3+1/5+1/7)*(1/3+1/5+1/7+1/9)-(1+1/3+1/5+1/7+1/9)*(1/3+1/5+1/7) 简便计算
1/1*3+1/1*3*5+1/1*3*5*7+1/1*3*5*7*9-73/945
1,3,5,7,9.
化简5／7：1／3
1/1*3*5+1/3*5*7+1/5*7*9.+1/95*97*99
1/5+1/3*(3/5-3/7)简便计算
(1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7+1/9)*(1/5+1/7)=?
1/1×3+1/3×5+1/5×7+1/7×9.+1/2011×2013
简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
1/1*3+1/3*5+1/5*7+1/7*9+...1/17*19=
计算1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+.+1/(19×21)
1/1×3+1/3×5+1/5×7+1/7×9+.+1/2013×2015
1/1*3+1/3*5+1/5*7+1/7*9+.+1/101*103
帮帮忙1/1*3+1/3*5+1/5*7+1/7*9+...1/99*101
1/1*3+1/3*5+1/5*7+1/7*9+1/49*51=
计算：1/1×3+1/3×5+1/5×7+1/7×9``````+1/2001×2003
(1*3)/1+(3*5)/1+(5*7)/1+(7*9)/1+(9*11)/1