Let the first place team get a as the prize money Since award money increase by the same amount for successive finishing places, we get constant amount be d. Here, t16 = 275 , n = 16 , and S16 = 8000 ∴ t16 = a + (16 - 1) (-d) ⇒ 275 = a - 15d ..... (i) Also, S16 =
16
2
[2a + (n - 1) (-d)] 1000 = 2a - 15d ..... (ii) Solving (i) and (ii) we get a = 725