Question

PLEASE HELP!!!

The numbers of points that a player must accumulate to reach the next level of a video game form a geometric sequence where a^n is the number of points needed to complete level n. You need 30,000 points to complete level 3 and 12,000,000 points to compete level 5.


The explicit rule for the geometric sequence is

Answer 1

The answer is 20^(n)

Explanation:

From the problem, we know that

a^(3) = 30000 (1)

a^(5) = 12 000 000 (2)

If we divide (2) and (1)

a^(5) / a^(3) = a^(2)

a^(2) = 12 000 000/ 30 000 = 400

a = sqrt(400) = 20

The rule of the geometric sequence would be

20^(n)