1. The problem is to find the next two terms in the sequence: 4, 8, 8, 6, 12, 4, …, … 2. Let's analyze the sequence step-by-step to identify a pattern. 3. Write down the terms with their positions: - $a_1 = 4$ - $a_2 = 8$ - $a_3 = 8$ - $a_4 = 6$ - $a_5 = 12$ - $a_6 = 4$ 4. Look for patterns in odd and even positions separately: - Odd terms: $a_1=4$, $a_3=8$, $a_5=12$ (increasing by 4) - Even terms: $a_2=8$, $a_4=6$, $a_6=4$ (decreasing by 2) 5. Predict the next odd term $a_7$ by continuing the odd term pattern: $$a_7 = a_5 + 4 = 12 + 4 = 16$$ 6. Predict the next even term $a_8$ by continuing the even term pattern: $$a_8 = a_6 - 2 = 4 - 2 = 2$$ 7. Therefore, the next two terms in the sequence are $16$ and $2$. Final answer: $16, 2$