Solution: The sequence is arithmetic with $ a_1 = 8 $ and $ d = 2 $. The 7th term is $ a_7 = a_1 + 6d = 8 + 12 = 20 $. oxed{20}

["Arithmetic Sequence Solution: Understanding the 7th Term", "An arithmetic sequence is a fundamental concept in mathematics, defined by a constant difference between consecutive terms. In this explanation, we explore the arithmetic sequence characterized by an initial term ( a_1 = 8 ) and a common difference ( d = 2 ).", "### What Is an Arithmetic Sequence?", "An arithmetic sequence is a list of numbers in which each term after the first is generated by adding a fixed difference, known as the common difference ( d ), to the previous term. The general formula for the ( n )-th term is:", "[\na_n = a_1 + (n - 1) \cdot d\n]", "This formula allows us to quickly find any term in the sequence without calculating all preceding values.", "### Calculating the 7th Term", "Given:\n- First term ( a_1 = 8 )\n- Common difference ( d = 2 )", "We are asked to find the 7th term ( a_7 ). Using the general arithmetic sequence formula:", "[\na_7 = a_1 + (7 - 1) \cdot d\n]", "Substitute the known values:", "[\na_7 = 8 + 6 \cdot 2 = 8 + 12 = 20\n]", "Thus, the 7th term is:", "[\n\boxed{20}\n]", "### Verification of the Term", "Alternatively, we can verify the result step-by-step:", "[\n\begin{align}\na_1 &= 8 \\na_2 &= 8 + 2 = 10 \\na_3 &= 10 + 2 = 12 \\na_4 &= 12 + 2 = 14 \\na_5 &= 14 + 2 = 16 \\na_6 &= 16 + 2 = 18 \\na_7 &= 18 + 2 = 20 \\n\end{align}\n]", "This confirms that ( a_7 = 20 ), consistent with the formula.", "### Importance of the General Formula", "Understanding and applying the formula ( a_n = a_1 + (n - 1) \cdot d ) is essential for efficiently solving problems involving arithmetic sequences. It simplifies the process of finding unknown terms, identifying patterns, and analyzing sequence behavior—skills useful in algebra, pattern recognition, and real-world applications.", "### Conclusion", "The arithmetic sequence with ( a_1 = 8 ) and ( d = 2 ) progresses predictably, and its 7th term is clearly determined to be 20 using both direct formula application and stepwise term calculation. This consistent pattern strengthens foundational knowledge of linear sequences.", "[\n\boxed{20}\n]"]