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

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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

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