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.


You can try my other Sequences And Series problems by clicking here : Part II and here : Part I.
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