Fresh day Coly, let's solve. Here are the solutions for your numeric patterns homework: 1. Complete the following patterns: a) 4, 8, 12, 16, 20, 24 Step 1: Find the difference between consecutive terms. 8 - 4 = 4 12 - 8 = 4 Step 2: The pattern is to add 4 to the previous number. 12 + 4 = 16 16 + 4 = 20 20 + 4 = 24 The completed pattern is 4, 8, 12, 16, 20, 24. b) 30, 27, 24, 21, 18, 15 Step 1: Find the difference between consecutive terms. 27 - 30 = -3 24 - 27 = -3 Step 2: The pattern is to subtract 3 from the previous number. 24 - 3 = 21 21 - 3 = 18 18 - 3 = 15 The completed pattern is 30, 27, 24, 21, 18, 15. c) 100, 95, 90, 85, 80, 75 Step 1: Find the difference between consecutive terms. 95 - 100 = -5 90 - 95 = -5 Step 2: The pattern is to subtract 5 from the previous number. 90 - 5 = 85 85 - 5 = 80 80 - 5 = 75 The completed pattern is 100, 95, 90, 85, 80, 75. 2. Write the rule of the pattern below. a) 10, 20, 30, 40 Step 1: Find the difference between consecutive terms. 20 - 10 = 10 30 - 20 = 10 40 - 30 = 10 Step 2: The rule is to add 10 to the previous number. Rule: Add 10 to the previous number. What's next? Send 'em!