Question 1013049
-2,-1,0,1,2    WITHOUT any calculating.


If you really want some algebra,  n+(n+1)+(n+2)+(n+3)+(n+4)=0 for any integer n, to be calculated.


{{{5n+1+2+3+4=0}}}
{{{5n+10=0}}}
{{{5(n+2)=0}}}
{{{n+2=0}}}
{{{n=-2}}}
Build the list from this.