To find $f(3)$ using the given recursive formula:

1. $f(1) = -2$
2. The recursive formula is $f(n) = -3 \cdot f(n-1)$.

Now calculate step by step:

• For $f(2)$:
  $f(2) = -3 \cdot f(1) = -3 \cdot (-2) = 6$

• For $f(3)$:
  $f(3) = -3 \cdot f(2) = -3 \cdot 6 = -18$

Final Answer:

$f(3) = -18$

Would you like further details or a different approach?
Here are 5 related questions for exploration:

1. What is $f(4)$ based on this recursive formula?
2. How does the formula behave as $n \to \infty$?
3. Can you find a general explicit formula for $f(n)$?
4. What happens if $f(1)$ changes to a different value?
5. How can this type of sequence be visualized graphically?

Tip: Recursive sequences are easier to manage when expressed explicitly for larger $n$.