2010²-2009²+2008²-2007²+2006²-2005²+……+2²-1²

问题描述:

2010²-2009²+2008²-2007²+2006²-2005²+……+2²-1²

=(2010+2009)(2010-2009)+(2008+2007)(2008-2007)+(2006+2005)(2006-2005)+……+(2+1)(2-1)
=4019+4015+4011+……+3
=2021055