In the Trivia Bowl, each finalist must answer four questions correctly. Each question is worth twice as much as the question before it. The fourth question is worth $6000. How much is the first question worth? 1 Answer Jul 19, 2016 This is a geometric sequence, where $r = 2$, $n = 4$, and ${t}_{4} = 6000$. We will be solving for $a$. Explanation: ${t}_{n} = a \times {r}^{n - 1}$$6000 = a \times {2}^{4 - 1}$$6000 = a \times {2}^{3}$$6000 = 8 a$$a = 750\$

Hence, the first question is worth 750 marks.

Hopefully this helps!