A17 = -1+2-3+4-5+.....+16-17
= -1+(2-3)+(4-5)+.....+(16-17)
= -1 + -1 + -1 +........+ -1
= -9
A2018 = -1+2-3+4-5+.....+2016-2017+2018
= -1+(2-3)+(4-5)+.......+(2016-2017)+2018
= -1 + -1 + -1 + .......... + -1 + 2018
= -1009 + 2018
= 1009
A17 + A2018 = -9 + 1009 = 1000
(A17 + A2018) : 3 = 1000 : 3 = 333 ( dư 1 )
Vậy A17 + A2018 chia cho 3 dư 1