1/1*3+1/3*5+1/5*7+1/7*9+.+1/2009*2011 要求最好写清计算过程,和思路,

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/24 02:53:56
1/1*3+1/3*5+1/5*7+1/7*9+.+1/2009*2011 要求最好写清计算过程,和思路,
x)372672Z@\R[HXj*Xlcӳ9 O}6َ>_7+uNy0:6IET7SΆV.6Ҍ65ԇ u6<ٽi{m5 `'i#e@u.247(q L<;ѓ7

1/1*3+1/3*5+1/5*7+1/7*9+.+1/2009*2011 要求最好写清计算过程,和思路,
1/1*3+1/3*5+1/5*7+1/7*9+.+1/2009*2011 要求最好写清计算过程,和思路,

1/1*3+1/3*5+1/5*7+1/7*9+.+1/2009*2011 要求最好写清计算过程,和思路,
1/[n*(n+2)]=[1/n-1/(n+2)]/2,
所以原式=(1-1/3+1/3-1/5+1/5-1/7+……+1/2009-1/2011)/2=(1-1/2011)/2=1005/2011

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+1/5+1/7+.+1/2n+1 (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 1 1 1 3 5 7 1 5 13 25 1 7 25 why 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 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