1+2+3+4+5...+2004+2005+2004+...+4+3+2+1
=2×﹙1+2+3+4+5...+2004﹚+2005
=2×﹙1+2004﹚×2004/2﹢2005
=2004×2005+2005
=2005²
=4020025