1. **State the problem:** We have a Fibonacci-type sequence where the second term is 5 and the fifth term is 23. We need to find the first term. 2. **Recall the Fibonacci-type sequence rule:** Each term is the sum of the two previous terms. 3. **Define variables:** Let the first term be $a$ and the second term be 5. 4. **Write the terms using the rule:** - First term: $a$ - Second term: 5 - Third term: $a + 5$ - Fourth term: $5 + (a + 5) = a + 10$ - Fifth term: $(a + 5) + (a + 10) = 2a + 15$ 5. **Use the given fifth term:** $$2a + 15 = 23$$ 6. **Solve for $a$:** $$2a = 23 - 15$$ $$2a = 8$$ $$a = \frac{8}{2}$$ $$a = 4$$ 7. **Answer:** The first term of the sequence is $4$.