Question

Julius is a contestant on a game show. In each round, the prize is double the dollar amount of the prize in the previous

round. The sequence of prize amounts in dollars is 10, 20, 40, 80, ...
Write an explicit function, f(n), for the prize amount in the nth round of the game show.

Answer 1

f(n) = 10(2)n−1

Step-by-step explanation:

The first term of the sequence is 10, so a = 10. Since we multiply by 2 to get subsequent values of the sequence, the common ratio is 2. So, r = 2. Substituting these values into the general explicit function for a geometric sequence gives f(n) = 10(2)n−1.Step-by-step explanation:

Answer 2

an = 10 * (2) ^ (n-1)

Step-by-step explanation:

We are multiplying the previous answer by 2

That is the common ratio

an = a1 r^ (n-1)

an = 10 * (2) ^ (n-1)