1. **Stating the problem:** We need to identify which dot pattern corresponds to blank 1 and blank 2 from the given options, then find the number sequence that matches the dot counts, and verify terms in the sequence. 2. **Analyzing blank 1 options:** - Option A: Rows 1 and 2 have 3 and 8 dots respectively (3, 8). - Option B: Rows 1 and 2 have 5 and 8 dots respectively (5, 8). - Option C: Six rows each with 2 dots (2, 2, 2, 2, 2, 2). - Option D: Two rows each with 10 dots (10, 10). 3. **Analyzing blank 2 options:** - Option A: Two rows each with 6 dots (6, 6). - Option B: Six rows each with 2 dots (2, 2, 2, 2, 2, 2). - Option C: Two rows each with 9 dots (9, 9). - Option D: Two rows each with 8 dots (8, 8). 4. **Matching the number sequence:** The sequence given is $2, 5, 8, 11, 14, 17$ which increases by 3 each time. 5. **Identifying the pattern:** The sequence is arithmetic with first term $a_1=2$ and common difference $d=3$. 6. **Finding the term formula:** $$a_n = a_1 + (n-1)d = 2 + (n-1) \times 3 = 3n - 1$$ 7. **Checking the dot counts:** The sequence matches the counts of dots in the patterns increasing by 3. 8. **Answering blank 1:** The first term is 2, second is 5, third is 8, so blank 1 corresponds to option B (5 and 8 dots). 9. **Answering blank 2:** The pattern continues with 11, 14, 17 dots, so blank 2 corresponds to option D (8 dots per row, matching 14 and 17 dots). 10. **Verifying term 20:** $$a_{20} = 3 \times 20 - 1 = 60 - 1 = 59$$ 11. **Verifying term 60:** $$a_{60} = 3 \times 60 - 1 = 180 - 1 = 179$$ 12. **Term 2 given as 104 is inconsistent with the sequence $3n-1$; likely a different sequence or error.** **Final answers:** - Blank 1 term: Option B - Blank 2 term: Option D - Number sequence: $2, 5, 8, 11, 14, 17$ - Term 20: 59 - Term 60: 179