# Working from the end

Algebra Level 4

$(1^2-t_1)+(2^2-t_2)+...+(n^2-t_n)=\dfrac{1}{3} n(n^2-1)$

If $$\{t_n\}$$ be a sequence of the terms satisfying the above equation, then find the $$1729^{th}$$ term of the sequence.

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