1997 Fermat Problem 24

The first term in a sequence of numbers is t_1 = 5. Succeeding terms are defined by the statement t_n - t_{n-1} = 2n+3 for n \ge 2. The value of t_{50} is

\textbf{(A)}\ 2700\quad \textbf{(B)}\ 2702\quad \textbf{(C)}\ 2698\quad \textbf{(D)}\ 2704\quad \textbf{(E)}\ 2706

If there are no answer choices shown, enter a numerical answer.

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