1. **State the problem:** We are given an arithmetic sequence with first term $a_1 = 2$ and common difference $d = 7$. We need to find the 12th term of this sequence. 2. **Formula used:** The $n$th term of an arithmetic sequence is given by: $$a_n = a_1 + (n-1)d$$ where $a_n$ is the $n$th term, $a_1$ is the first term, $d$ is the common difference, and $n$ is the term number. 3. **Apply the formula:** Substitute $a_1 = 2$, $d = 7$, and $n = 12$: $$a_{12} = 2 + (12-1) \times 7$$ 4. **Simplify inside the parentheses:** $$a_{12} = 2 + 11 \times 7$$ 5. **Multiply:** $$a_{12} = 2 + 77$$ 6. **Add:** $$a_{12} = 79$$ **Final answer:** The 12th term of the arithmetic sequence is $79$.