Enter the first four terms.

7, 4, 1, and -2.

Step-by-step explanation:

Our recursive rule is:

Where n is the nth term.

So, our first term will be f(1). As defined, this is 7.

Our second term will be f(2). We will use the recursive formula. Substituting 2 for n yields:

Subtract:

We know that f(1) is 7. Substitute:

Hence, the second term is 4.

We will do the same thing for the third term. Substitute 3 for n:

Subtracting yields:

We know that f(2) is 4. So:

Hence, the third term is 1.

Finally, we will do the same thing. Substitute 4 for n to find the fourth term:

Hence, the fourth term is -2.

Therefore, our first four terms are 7, 4, 1, and -2.