1. **State the problem:** We have an arithmetic sequence starting with 16 and increasing by 8 each time. We want to find the 20th term. 2. **Formula for the nth term of an arithmetic sequence:** $$a_n = a_1 + (n-1)d$$ where $a_n$ is the nth term, $a_1$ is the first term, $d$ is the common difference, and $n$ is the term number. 3. **Identify values:** - First term $a_1 = 16$ - Common difference $d = 8$ - Term number $n = 20$ 4. **Substitute values into the formula:** $$a_{20} = 16 + (20-1) \times 8$$ 5. **Simplify inside the parentheses:** $$a_{20} = 16 + 19 \times 8$$ 6. **Multiply:** $$a_{20} = 16 + 152$$ 7. **Add:** $$a_{20} = 168$$ **Final answer:** The 20th term of the sequence is $168$.