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
Here are the solutions to the number pattern questions: 1. Create a pattern that includes: a) Multiples Pattern: 6, 12, 18, 24, 30, What is the rule? Add 6 to the previous term. b) Factors Pattern: 1, 2, 3, 4, 6, 8, 12, 24 What is the rule? List the factors of 24 in ascending order. 2. Extend the following pattern. a) Tip: prime numbers are special numbers that can only be divided by themselves and 1. 2, 3, 5, 7, 11, 13, 17, 19 b) Rule: multiply by 2 and add 1. 1, 3, 7, 15, 31, 63, 127 Step 1: For the first missing term: (15 × 2) + 1 = 30 + 1 = 31 Step 2: For the second missing term: (31 × 2) + 1 = 62 + 1 = 63 Step 3: For the third missing term: (63 × 2) + 1 = 126 + 1 = 127 c) Rule: divide by 2 and add 2. 100, 52, 28, 16, 10, 7 Step 1: For the first missing term: (28 ÷ 2) + 2 = 14 + 2 = 16 Step 2: For the second missing term: (16 ÷ 2) + 2 = 8 + 2 = 10 Step 3: For the third missing term: (10 ÷ 2) + 2 = 5 + 2 = 7 3. Create two of your own number patterns and ask your friend to extend it. a) Pattern: 10, 20, 30, 40, Rule: Add 10 to the previous term. b) Pattern: 3, 9, 27, 81, Rule: Multiply the previous term by 3. That's 2 down. 3 left today — send the next one.