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
Step 1: Analyze the given sequence to find the pattern. The sequence provided is 8, 9, 15, Step 2: Calculate the differences between consecutive terms. The difference between the second and first term is 9 - 8 = 1. The difference between the third and second term is 15 - 9 = 6. Step 3: Calculate the difference between these differences (the second difference). The difference between 6 and 1 is 6 - 1 = 5. Step 4: Formulate the rule based on the observed pattern. The first differences are 1 and 6. The second difference is 5. Assuming this second difference is constant, the rule is that the amount added to each term to get the next term increases by 5 each time. The rule to determine the next number is: Add an amount that is 5 greater than the amount added to the previous term. 3 done, 2 left today. You're making progress.