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

The answer is 20^(n)

Step-by-step 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)

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18