1/1*3*5+1/3*5*7+.1/99*101*103
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1/1*3*5+1/3*5*7+.1/99*101*103
1/1*3*5+1/3*5*7+.1/99*101*103
1/1*3*5+1/3*5*7+.1/99*101*103
由一般的情况:
1/(a-2)a(a+2)
=1/4*(1/(a-2)a-1/a(a+2))
所以
原式=1/4*(1/1*3-1/3*5+1/3*5-1/5*7+...+1/99*101-1/101*103)
=1/4*(1/1*3-1/101*103)
=1/4*(1/3-1/101*103)
=2600/312209
(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
简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
(1*3)/1+(3*5)/1+(5*7)/1+(7*9)/1+(9*11)/1
1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
(1*3)/1+(3*5)/1+(5*7)/1+(7*9)/1+(9*11)/1
1+1+3+5+7+9
1/1*3+1/1*3*5+1/1*3*5*7+1/1*3*5*7*9-73/945
(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+...1/17*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
1/1*3+1/3*5+1/5*7+1/7*9+.+1/49*51
1/1*3+1/3*5+1/5*7+1/7*9+...+1/2007*2009=?
1/1*3+1/3*5+1/5*7+1/7*9+.+1/2003*2005