Sequences — a three-term recurrence forces period three

Suppose $a_1, a_2,…, a_{300}$ are integers such that $a_{i-1}+a_i+a_{i+1}=2025$ for all $i=2,3,…,299$.

If $a_7=-5$, $a_9=37$, then the value of $a_{106}$ is