已知1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12,1/4-1/5=1/20……根据这些等式求值.1/1*2+1/2*3+1/3*4+……+1/2008*2009
来源：学生作业帮助网 编辑：六六作业网 时间：2024/12/26 10:19:56
已知1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12,1/4-1/5=1/20……根据这些等式求值.1/1*2+1/2*3+1/3*4+……+1/2008*2009
已知1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12,1/4-1/5=1/20……根据这些等式求值.1/1*2+1/2*3+1/3*4+……+1/2008*2009
已知1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12,1/4-1/5=1/20……根据这些等式求值.1/1*2+1/2*3+1/3*4+……+1/2008*2009
1/1*2+1/2*3+1/3*4+……+1/2008*2009
=1-1/2+1/2-1/3+1/3-1/4+...+1/2008-1/2009
=1-1/2009
=2008/2009
1/1*2+1/2*3+1/3*4+……+1/2008*2009
=1-1/2+1/2-1/3+1/3-1/4+...........+1/2008-1/2009
=1-1/2009
=2008/2009
解:1/1*2+1/2*3+1/3*4+……+1/2008*2009
=1-1/2+1/2-1/3+1/3-1/4+...+1/2008-1/2009
=1-1/2009
=2008/2009
1/1*2+1/2*3+1/3*4+……+1/2008*2009
=1-1/2+1/2-1/3+1/3-1/4+……+1/2008-1/2009
=1-1/2009
=2008/2009
1/1*2+1/2*3+1/3*4+……+1/2008*2009
=1-1/2+1/2-1/3+1/3-1/4+...........+1/2008-1/2009
=1-1/2009
=2008/2009