What's the question being asked here?
1) 2x-1 or x=1/2
2) 5a-16 or a=16/5
Answer:

You gave the explicit form.
Step-by-step explanation:
You gave the explicit form.
The recursive form is giving you a term in terms of previous terms of the sequence.
So the recursive form of a geometric sequence is
and they also give a term of the sequence; like first term is such and such number. All this says is to get a term in the sequence you just multiply previous term by the common ratio.
r is the common ratio and can found by choosing a term and dividing by the term that is right before it.
So here r=-3 since all of these say that it does:
-54/18
18/-6
-6/2
If these quotients didn't match, then it wouldn't be geometric.
Anyways the recursive form for this geometric sequence is

I'm guessing that this problem is talking about a loan of some sort. So basically, let's look at the given. In the problem, Leon is charged a fee of 75. The interest rate would be 12.5 % if he doesn't pay his due amount. So in order to get the total amount that he has to pay if he doesn't pay on time, you just need to multiply 75 with 12.5% or simply 0.125. If you do this, you will get 9.375. After that, you add 9.375 to the principal amount which is 75 and you will get 84.375. So Leon has to now pay a total of 84.375.