Answer:
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.