1-2+3-4+5-6+7-8+9······+2009-2010+2011=?

问题描述:

1-2+3-4+5-6+7-8+9······+2009-2010+2011=?

1-2+3-4+5-6+7-8+9······+2009-2010+2011
=1+(-2+3)+(-4+5)+(-6+7)+(-8+9)+······+(-2010+2011)
=1+1+1+...+1
=1+(2011-1)/2
=1006