FERMAT 1997 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\ge2. The value of t_{50} is

Answer Choices
A. 2700
B. 2702
C. 2698
D. 2704
E. 2706