ANSWER:
24/5
STEP-BY-STEP EXPLANATION:
We have the following geometric sequence:

To know the following term, we must know the common ratio, like this:

Therefore, the following term should be:
The fraction

To find this we need to realize that .66 can be converted to a fraction. The last 6 is in the hundredths place, so if we convert .66 to a fraction we will get:

If we simplify this fraction as much as we can, we will get to

To check this we can divide

. So, 2 ÷ 3 = .66, which is correct, so our answer is correct.
I hope this helped! Have an amazing day :)
The 1st graph has vertex in (-3, -3) which can be translated into
Horizontal shift left 3
Vertical shift down 3
Other than that, the graph shows y=x^2 so it wasn't compressed or stretched
The 2nd graph has vertex in (0, 0) which mean there is no vertical and horizontal shift. But the graph is facing down and it was slimmer than y=x^2 graph. When x=1, the result is y=3 which was 3 times more than it supposed to be.
The graph must be:
Reflection across x-axis
Vertical stretch of 3
The 3rd graph has vertex in (3, -3) which can be translated into
Horizontal shift right 3
Vertical shift down 3
Same as the 1st graph, the 3rd graph shows y=x^2 so it wasn't compressed or stretched.
You would expect

to be increasing to the left of

, and decreasing to the right, which corresponds to

being positive when

(but near

) and negative when

.