1. **State the problem:** We are given the arithmetic sequence defined by the formula $a(n) = -6 - 4(n - 1)$ and need to understand or find terms of this sequence. 2. **Formula explanation:** This is an arithmetic sequence where the first term $a(1)$ and the common difference $d$ can be identified from the formula: $$a(n) = a_1 + (n-1)d$$ Here, $a_1 = -6$ and $d = -4$. 3. **Find the first term:** Substitute $n=1$: $$a(1) = -6 - 4(1 - 1) = -6 - 0 = -6$$ 4. **Find the second term:** Substitute $n=2$: $$a(2) = -6 - 4(2 - 1) = -6 - 4 = -10$$ 5. **Find the third term:** Substitute $n=3$: $$a(3) = -6 - 4(3 - 1) = -6 - 8 = -14$$ 6. **General understanding:** Each term decreases by 4 from the previous term, starting at -6. **Final answer:** The sequence is arithmetic with first term $-6$ and common difference $-4$, so $a(n) = -6 - 4(n-1)$.