1/1×3+1/3×5+1/5×7+……+1/2009×2011=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/23 04:44:30
1/1×3+1/3×5+1/5×7+……+1/2009×2011=?1/1×3+1/3×5+1/5×7+……+1/2009×2011=?1/1×3+1/3×5+1/5×7+……+1/2009×2011

1/1×3+1/3×5+1/5×7+……+1/2009×2011=?
1/1×3+1/3×5+1/5×7+……+1/2009×2011=?

1/1×3+1/3×5+1/5×7+……+1/2009×2011=?
1/1×3+1/3×5+1/5×7+……+1/2009×2011
=1/2×(1-1/3+1/3-1/5+……+1/2009-1/2011)
=1/2×(1-1/2011)
=1005/2011

1/1×3+1/3×5+1/5×7+……+1/2009×2011
=1/2×(1-1/3+1/3-1/5+……+1/2009-1/2011)
=1/2×(1-1/2011)
=1005/2011

1/1×3+1/3×5+1/5×7+……+1/2009×2011
=(1-1/3+1/3-1/5+1/5-1/7+……+1/2009-1/2011)÷2
=(1-1/2011)÷2
=2010/2011÷2
=1005/2011

1/1×3+1/3×5+1/5×7+……+1/2009×2011
=1/2x【(1-1/3)+(1/3-1/5)+(1/5-1/7)+...+(1/2009-1/2011)】
=1/2X(1-1/2011)
=1/2x2010/2011
=1005/2011

1/1×3+1/3×5+1/5×7+……+1/2009×2011
=1/2*(1/1-1/3)+1/2*(1/3-1/5)+1/2*(1/5-1/7)+...+1/2*(1/2009-1/2011)
=1/2*(1-1/3+1/3-1/5+1/5-1/7+...+1/2009-1/2011)
=1/2*(1-1/2011)
=1005/2011