1/1x5+1/5x9+.+1/2005x2009
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1/1x5+1/5x9+.+1/2005x20091/1x5+1/5x9+.+1/2005x20091/1x5+1/5x9+.+1/2005x2009=1/4(1-1/5+1/5-1/9******+
1/1x5+1/5x9+.+1/2005x2009
1/1x5+1/5x9+.+1/2005x2009
1/1x5+1/5x9+.+1/2005x2009
=1/4(1-1/5+1/5-1/9******+1/2005-1/2009)
=(1-1/2009)/4
=502/2009