Hello,

Hello! For this problem, I randomly guessed the sequence:

a1=-4

a2=-2

a3=1

a4=1

a5=1

a6=1

a7=1

a8=1

So a1+a2+...+a8=0, and a1*a2*...*a8=8, so it satisfies and n congruent to 0 (mod 4).

Is there are more rigorous way to do this?

Thanks,

Tina Jin