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 what?🤷, let's solve. Here are the rules and missing numbers for each sequence: 1. 2, 7, 12, 17, , , , ... Step 1: Find the difference between consecutive terms. 7 - 2 = 5 12 - 7 = 5 17 - 12 = 5 Step 2: Determine the rule and missing numbers. The rule is to add 5 to the previous number. 17 + 5 = 22 22 + 5 = 27 27 + 5 = 32 The sequence is 2, 7, 12, 17, 22, 27, 32, ... 2. 87, 137, 187, 237, , , , ... Step 1: Find the difference between consecutive terms. 137 - 87 = 50 187 - 137 = 50 237 - 187 = 50 Step 2: Determine the rule and missing numbers. The rule is to add 50 to the previous number. 237 + 50 = 287 287 + 50 = 337 337 + 50 = 387 The sequence is 87, 137, 187, 237, 287, 337, 387, ... 3. 132, 128, 124, 120, , , , ... Step 1: Find the difference between consecutive terms. 128 - 132 = -4 124 - 128 = -4 120 - 124 = -4 Step 2: Determine the rule and missing numbers. The rule is to subtract 4 from the previous number. 120 - 4 = 116 116 - 4 = 112 112 - 4 = 108 The sequence is 132, 128, 124, 120, 116, 112, 108, ... 4. 98, 85, 72, 59, , , , ... Step 1: Find the difference between consecutive terms. 85 - 98 = -13 72 - 85 = -13 59 - 72 = -13 Step 2: Determine the rule and missing numbers. The rule is to subtract 13 from the previous number. 59 - 13 = 46 46 - 13 = 33 33 - 13 = 20 The sequence is 98, 85, 72, 59, 46, 33, 20, ... 5. 7, 14, 28, 56, , , , ... Step 1: Find the ratio between consecutive terms. (14)/(7) = 2 (28)/(14) = 2 (56)/(28) = 2 Step 2: Determine the rule and missing numbers. The rule is to multiply the previous number by 2. 56 × 2 = 112 112 × 2 = 224 224 × 2 = 448 The sequence is 7, 14, 28, 56, 112, 224, 448, ... 6. 2, 6, 18, 54, , , , ... Step 1: Find the ratio between consecutive terms. (6)/(2) = 3 (18)/(6) = 3 (54)/(18) = 3 Step 2: Determine the rule and missing numbers. The rule is to multiply the previous number by 3. 54 × 3 = 162 162 × 3 = 486 486 × 3 = 1458 The sequence is 2, 6, 18, 54, 162, 486, 1458, ... 7. 3, 12, 48, 192, , , , ... Step 1: Find the ratio between consecutive terms. (12)/(3) = 4 (48)/(12) = 4 (192)/(48) = 4 Step 2: Determine the rule and missing numbers. The rule is to multiply the previous number by 4. 192 × 4 = 768 768 × 4 = 3072 3072 × 4 = 12288 The sequence is 3, 12, 48, 192, 768, 3072, 12288, ... 8. 1600, 800, 400, 200, , , , ... Step 1: Find the ratio between consecutive terms. (800)/(1600) = (1)/(2) (400)/(800) = (1)/(2) (200)/(400) = (1)/(2) Step 2: Determine the rule and missing numbers. The rule is to divide the previous number by 2. (200)/(2) = 100 (100)/(2) = 50 (50)/(2) = 25 The sequence is 1600, 800, 400, 200, 100, 50, 25, ... 9. 1215, 405, 135, , , , ... Step 1: Find the ratio between consecutive terms. (405)/(1215) = (1)/(3) (135)/(405) = (1)/(3) Step 2: Determine the rule and missing numbers. The rule is to divide the previous number by 3. (135)/(3) = 45 (45)/(3) = 15 (15)/(3) = 5 The sequence is 1215, 405, 135, 45, 15, 5, ... 10. 19, 30, 41, 52, , , , ... Step 1: Find the difference between consecutive terms. 30 - 19 = 11 41 - 30 = 11 52 - 41 = 11 Step 2: Determine the rule and missing numbers. The rule is to add 11 to the previous number. 52 + 11 = 63 63 + 11 = 74 74 + 11 = 85 The sequence is 19, 30, 41, 52, 63, 74, 85, ... Drop the next question.