Question 1149732
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Your sequence is PERIODIC.


The major period is these 4 terms {2 0 1 8}.


Divide 2018 by 4 to find the number of periods before 2018-th term


    {{{2018/4}}} = 504.5.


It means that there are 504 periods of 4 numbers before 2018-th term.


Exclude (mentally) these 504 periods.  504*4 = 2016.


Hence, the next two terms are 2 and 0 at 2017-th and 2018-th positions, respectively.


So, 0 is at the 2018-th position.     <U>ANSWER</U>
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Solved, answered, explained and completed.