The fourth and fifth terms of a sequence are $4$ & $5$ and $n^{th}$ terms is given as $t_{n}=2t_{n-1}-t_{n-2}, n \ge 3$ then the sum to $2000$ terms is :
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The fourth and fifth terms of a sequence are $4$ & $5$ and $n^{th}$ terms is given as $t_{n}=2t_{n-1}-t_{n-2}, n \ge 3$ then the sum to $2000$ terms is :