The solution of an equation with two variables, x and y, is
1) the set of all x values that make y=0
2) the set of all y values that make x = 0
3) the set of all ordered pairs, (x, y), that make the equation true
4) the set of all ordered pairs, (x, y), where the graph of the equation crosses the y-axis

Part A: Geometric Sequence

Part B:

Part C: a₈ = 512

Step-by-step explanation:

When we find the common ratio between the y-values (x-values are n inputs), we should see that we get r = 2. That means we have a geometric sequence.

Because we have a geometric sequence, our recursive formula is: . Simply plug in our known variables:

Now we need to find what y is when x = 8, so (I used explicit formula):

a₈ = 512