1+2+3+4+5+6+7+8+9+.+1000+1001=

问题描述:

1+2+3+4+5+6+7+8+9+.+1000+1001=

=(1+1000)+(2+999)+……+(500+501)+1001
=1001+1001+……+1001+1001
=1001×501
=501501
=(1+1001)/2*1000
=501501