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*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