What is a formula for the nth term of the given sequence?
36, 24, 16...

The formula to find the nth term of the given sequence is 54 ·

Step-by-step explanation:

The formula for nth term of an geometric progression is :

In this example, we have = 36 (the first term in the sequence) and

r = (the rate in which the sequence is changing).

Knowing what the values for r and are, now we can solve.

= = 54 ·

Therefore, the formula to find the nth term of the given sequence is

54 ·

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