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2014-11-10T20:52:47+02:00
1+3+5+...+2015= 1+2+..+2015 -2(1+2+3+..+1007)= (2015*2016)/2 - 2 (1007*1008)/2= 2015*1008 - 1007*1008= 1008( 2015-1007)= 1008 ² 
⇒√1008² = |1008| =1008