The missing terms are 11 and 38, and this is an example of arithmetic sequence. We got the common difference by subtracting 29 and 20. 29 - 20 = 92, _, 20, 29, _ +9 +9 +9 +92 + 9 = 1111 + 9 = 2020 + 9 = 2929 + 9 = 38We can check if the answer is correct by subtracting each number from right to left.11 - 2 = 920 - 11 = 929 - 20 = 938 - 29 = 9So, the correct ordered list is 2, 11, 20, 29, 38By subtracting 29 and 20, we can also do another checking by writing the general rule of this arithmetic sequence. First, subtract the first term which is 2 from 9 which is the common difference. 2 - 9 = -7The subtrahend (9) and the difference (-7) General rule: 9n - 79(1) - 7 = 29(2) - 7 = 119(3) - 7 = 209(4) - 7 = 299(5) - 7 = 38
2, 11, 20, 29, 38The pattern is an arithmetic sequence with a common difference of 9.Solution:Identify the sequence2, _, 20, 29, _Find the pattern using known terms29 - 20 = 9Try if common difference is = 920 - 9 = 1129 + 9 = 38Verify the sequence2 → 11 → 20 → 29 → 38+9 +9 +9 +9SolutionFirst blank = 11Second blank = 38Answer: 11, 38