11+22+33+…+20020+20031除以7余数是_.

问题描述:

11+22+33+…+20020+20031除以7余数是______.

11+22+33+…+20020+20031
=(11+20031)×[(20031-11)÷11+1]÷2,
=20042×[20020÷11+1]÷2,
=20042×[1820+1]÷2,
=20042×1821÷2,
=18248241.
18248241÷7=2606891…4.
故答案为:4.