Since you subtract 6 and you have to find the sixth term, you can do:
-6×5=-30 ( negative shows you're subtracting and since 75 is the first term, then you have to find the difference of the input/term 6-1, the sixth term minus the first)
75-30=45
You can check by actually continuing the pattern.
75,69,63,57,51,45,39......
<h2>Evaluating Composite Functions</h2><h3>
Answer:</h3>

<h3>
Step-by-step explanation:</h3>
We can write how
will be defined but that's too much work and it's only useful when we are evaluating
with many inputs.
First let's solve for
first. As you read through this answer, you'll get the idea of what I'm doing.
Given:

Solving for
:

Now we can solve for
, since
,
.
Given:

Solving for
:

Now we are can solve for
. By now you should get the idea why
.
Given:

Solving for
:

Answer:
-11
Step-by-step explanation:
You need to take the absolute value of 12-15 which would be 3. Then take -8-3 which would be -11