作业帮1/1x3+1/3x5+1/5x7+...+1/2007x2009=?
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/25 05:02:28
1/1x3+1/3x5+1/5x7+...+1/2007x2009=?
1/1x3+1/3x5+1/5x7+...+1/2007x2009
=(1-1/3)÷2+(1/3-1/5)÷2+(1/5-1/7)÷2+……+(1/2007-1/2009)÷2
=[(1-1/3)+(1/3-1/5)+(1/5-1/7)+……+(1/2007-1/2009)]÷2
=（1-1/3+1/3-1/5+1/5-1/7+……+1/2007-1/2009）÷2
中间互相抵消
=(1-1/2009)÷2
=2008/2009÷2
=1004/2009
=(1-1/3)÷2+(1/3-1/5)÷2+(1/5-1/7)÷2+……+(1/2007-1/2009)÷2
=[(1-1/3)+(1/3-1/5)+(1/5-1/7)+……+(1/2007-1/2009)]÷2
=（1-1/3+1/3-1/5+1/5-1/7+……+1/2007-1/2009）÷2
中间互相抵消
=(1-1/2009)÷2
=2008/2009÷2
=1004/2009
1/1x2+1/2x3+1/3x4+1/4x5+```````+1/2008x2009=?
1/1X3+1/3X5+1/5X7...1/17X19+1/19X21=
1/1x3+1/3x5+1/5x7+1/7x9+1/9x11=?
1/1x3+1/3x5+1/5x7+.+1/2009x2011=
2/1x3+2/3X5+2/5x7=2/7x9+2/9x11
1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+......1/2008x2009
1/1x3+1/3x5+1/5x7.1/2009x2010+1/2011x2013
计算：1/1x3+1/3x5+1/5x7+...1/2009x2011+1/2011×2013
1/1x3+1/3x5+1/5x7+……+1/99x101
1/1x3+1/3x5+1/5x7+…+1/2011x2013是多少?
1/(1x3)+1/(3x5)+1/(5x7)+.+1/(2011x2013) 等于什么
1/1x3+1/3x5+1/5x7+.+1/1997x1999 简便计算.