1/3*5+1/5*7+1/7*9.+1/2009*2011

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1/3*5+1/5*7+1/7*9.+1/2009*2011

1/3*5+1/5*7+1/7*9.+1/2009*2011
1/3*5+1/5*7+1/7*9.+1/2009*2011

1/3*5+1/5*7+1/7*9.+1/2009*2011
1/3*5+1/5*7+1/7*9.+1/2009*2011
=(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+……+1/2009-1/2011)÷2
=(1-1/2011)÷2
=2010/2011÷2
=1005/2011