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 for the sequence of numbers problems. 1. Look at the number sequence 125, 250, 375, 500. a) What is the difference between the numbers? Step 1: Calculate the difference between consecutive numbers. 250 - 125 = 125 375 - 250 = 125 500 - 375 = 125 The difference between the numbers is 125. b) Describe the pattern. The pattern is to add 125 to the previous number to get the next number. 2. Look at the number sequence 8, 24, 72. a) What is the difference between the numbers? Step 1: Calculate the difference between consecutive numbers. 24 - 8 = 16 72 - 24 = 48 The differences are not constant. The differences between the numbers are 16 and 48. b) Describe the pattern. Step 1: Check for a common ratio. 24 ÷ 8 = 3 72 ÷ 24 = 3 The pattern is to multiply the previous number by 3 to get the next number. 3. Give the next three numbers of the sequence. Describe the pattern. Sequence: 286, 311, 336, ___, ___, ___ Step 1: Find the difference between consecutive numbers. 311 - 286 = 25 336 - 311 = 25 The pattern is to add 25 to the previous number. Step 2: Calculate the next three numbers. 336 + 25 = 361 361 + 25 = 386 386 + 25 = 411 The next three numbers are 361, 386, 411. Describe the pattern: The pattern is to add 25 to the previous number to get the next number. That's 2 down. 3 left today — send the next one.