1. **State the problem:** We have a sequence of dot patterns arranged in 2 rows, with the number of dots in each row increasing by 1 each step. The first three terms show 3 dots per row (total 6), then 4 dots per row (total 8), then 5 dots per row (total 10). We need to fill in the blanks for the next terms, identify the number sequence, find the 15th and 70th terms, and determine which term equals 235. 2. **Identify the pattern:** Each term corresponds to the total number of dots in 2 rows. If the number of dots per row is $n$, total dots = $2 \times n$. 3. **Fill in blank 1:** The sequence of dots per row is 3, 4, 5, so the next term is 6 dots per row. Total dots = $2 \times 6 = 12$. 4. **Fill in blank 2:** Following the pattern, after 6 dots per row comes 7 dots per row. Total dots = $2 \times 7 = 14$. 5. **Number sequence:** The sequence of total dots is $6, 8, 10, 12, 14, 16, ...$ which can be written as $2 \times 3, 2 \times 4, 2 \times 5, 2 \times 6, 2 \times 7, 2 \times 8, ...$ 6. **General term formula:** $$a_n = 2(n + 2)$$ This is because the first term corresponds to $n=1$ with 3 dots per row, so $n+2$ gives the dots per row. 7. **Find the 15th term:** $$a_{15} = 2(15 + 2) = 2 \times 17 = 34$$ 8. **Find the 70th term:** $$a_{70} = 2(70 + 2) = 2 \times 72 = 144$$ 9. **Find which term equals 235:** Set $a_n = 235$: $$2(n + 2) = 235$$ Divide both sides by 2: $$\cancel{2}(n + 2) = \cancel{2} \times 117.5$$ $$n + 2 = 117.5$$ Subtract 2: $$n = 115.5$$ Since $n$ must be an integer term number, 235 is not a term in the sequence. **Final answers:** - Blank 1 term: 12 dots - Blank 2 term: 14 dots - Number sequence: 6, 8, 10, 12, 14, ... - 15th term: 34 - 70th term: 144 - Term equal to 235: None (not in sequence)