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
Fresh day Coly, let's solve. a) 1, 6, 11, 16, ___, ___, ___ Step 1: Find the difference between consecutive terms. 6 - 1 = 5 11 - 6 = 5 16 - 11 = 5 The pattern is increasing by 5. Step 2: Fill in the missing numbers by adding 5 to the previous term. 16 + 5 = 21 21 + 5 = 26 26 + 5 = 31 The pattern is increased by 5. The completed sequence is: 1, 6, 11, 16, 21, 26, 31 b) 17, 27, 37, ___, ___, ___ Step 1: Find the difference between consecutive terms. 27 - 17 = 10 37 - 27 = 10 The pattern is increasing by 10. Step 2: Fill in the missing numbers by adding 10 to the previous term. 37 + 10 = 47 47 + 10 = 57 57 + 10 = 67 The pattern is increased by 10. The completed sequence is: 17, 27, 37, 47, 57, 67 c) 2, 10, 50, ___, ___, ___, 31250 Step 1: Check for a common difference or ratio. Differences: 10 - 2 = 8, 50 - 10 = 40. Not an arithmetic sequence. Ratios: (10)/(2) = 5 (50)/(10) = 5 The pattern is multiplying by 5. Step 2: Fill in the missing numbers by multiplying the previous term by 5. 50 × 5 = 250 250 × 5 = 1250 1250 × 5 = 6250 Step 3: Verify the last given number. 6250 × 5 = 31250 This matches the given last term. The pattern is multiplied by 5. The completed sequence is: 2, 10, 50, 250, 1250, 6250, 31250 Send me the next one 📸