Question

The numbers of points that a player must accumulate to reach the next level of a video

game form a geometric sequence where an is the number of points needed to complete
level n. You need 50,000 points to complete level 3 and 20,000,000 points to compete level
5.
The explicit rule for the geometric sequence is a n =
( 1
)" - 1

Answer 1

a_n=125×20^(n-1)

Explanation:

a_n=x×y^(n-1)

a_3=50000=x×y^2

a_5=20000000=x×y^4

y^2=20000000/50000=400

y=20;x=125