Friday 30 July 2021

Define the sequence \(\{a_n\}_{n\geq 1}\) as \(a_n=n-1\), \(n\leq 2\) and \(a_n=\) remainder left by \(a_{n-1}+a_{n-2}\) when divided by \(3\) \(\forall n\geq 2\). Then \[\sum_{i=2018}^{2025}a_i=?\]
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