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
Nokwanda, let's knock this out. 1) Write down the next three numbers and describe each pattern. a) 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 The pattern is adding 3 to the previous term. Next three numbers: 21 + 3 = 24 24 + 3 = 27 27 + 3 = 30 Description: Add 3 to the previous term. b) 1, 8, 15, 22, 29, 36, 43, 50, 57, 64 The pattern is adding 7 to the previous term. Next three numbers: 43 + 7 = 50 50 + 7 = 57 57 + 7 = 64 Description: Add 7 to the previous term. c) 7, 9, 8, 10, 9, 11, 10, 12 The pattern alternates between adding 2 and subtracting 1. Next three numbers: 9 + 2 = 11 11 - 1 = 10 10 + 2 = 12 Description: Alternate between adding 2 and subtracting 1. d) 4, 1, 16, 1, 64, 1, 256, 1, 1024 The pattern has two alternating sequences: the odd-positioned terms are powers of 4 (4^1, 4^2, 4^3, ), and the even-positioned terms are always 1. Next three numbers: The next odd-positioned term is 64 × 4 = 256. The next even-positioned term is 1. The next odd-positioned term is 256 × 4 = 1024. Description: Odd terms are powers of 4 (multiplying by 4), and even terms are always 1. e) 2, 4, 8, 16, 32, 64, 128, 256 The pattern is multiplying the previous term by 2. Next three numbers: 32 × 2 = 64 64 × 2 = 128 128 × 2 = 256 Description: Multiply the previous term by 2. 2) Draw the next diagram. I cannot answer this question as there are no diagrams provided in the image. Got more? Send 'em!