This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey, good to see you again. Here are the completed patterns: A) The pattern is to add a number that doubles each time. Step 1: Find the differences between consecutive terms. 8 - 3 = 5 18 - 8 = 10 38 - 18 = 20 Step 2: Observe the pattern in the differences. The differences are 5, 10, 20, which means each difference is double the previous one. The next difference will be 20 × 2 = 40. Step 3: Add the next difference to the last term. 38 + 40 = 78 The completed pattern is 3, 8, 18, 38, 78. B) The pattern is to add 7 to the previous term. Step 1: Find the differences between consecutive terms. 14 - 7 = 7 21 - 14 = 7 28 - 21 = 7 35 - 28 = 7 Step 2: The common difference is 7. The missing number is already filled in the image as 21, which is correct. The completed pattern is 7, 14, 21, 28, 35. C) The pattern is to subtract a number that increases by 1 each time. Step 1: Find the differences between consecutive terms. 23 - 25 = -2 20 - 23 = -3 16 - 20 = -4 Step 2: Observe the pattern in the differences. The differences are -2, -3, -4. The next difference will be -5. Step 3: Subtract the next difference from the last term. 16 - 5 = 11 The completed pattern is 25, 23, 20, 16, 11. D) The pattern is to subtract numbers following the sequence 12, 4, 6, 8, . Step 1: Find the differences between consecutive terms. 21 - 33 = -12 17 - 21 = -4 11 - 17 = -6 Step 2: Observe the pattern in the subtractions: 12, 4, 6. The pattern for these subtractions is to subtract 8, then add 2, then add 2. So, 12 -8 4 +2 6 +2 8. The next number to subtract is 8. Step 3: Subtract the next number in the sequence of subtractions from the last term. 11 - 8 = 3 The completed pattern is 33, 21, 17, 11, 3. E) The pattern is to add a number that doubles each time. Step 1: Find the differences between consecutive terms. 7 - 4 = 3 13 - 7 = 6 Step 2: Observe the pattern in the differences. The differences are 3, 6, which means each difference is double the previous one. The next difference will be 6 × 2 = 12. Step 3: Add the next difference to the last known term. 13 + 12 = 25 Step 4: Verify the next step with the given number. The next difference would be 12 × 2 = 24. 25 + 24 = 49. This matches the given number. The completed pattern is 4, 7, 13, 25, 49. F) The pattern is to divide the previous term by 3. Step 1: Find the relationship between consecutive terms. 243 ÷ 3 = 81 9 ÷ 3 = 3 Step 2: The common operation is division by 3. Apply this to find the missing term. 81 ÷ 3 = 27 Step 3: Verify the next step. 27 ÷ 3 = 9. This matches the given number. The completed pattern is 243, 81, 27, 9, 3. Send me the next one 📸