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
Okay, I understand. You're referring to the sequence questions from the first image you sent. I've solved the first two. Let's do the next one. Step 1: Analyze the given sequence to find the pattern. The sequence is: 1, 3, 6, 10, x, 21, 28. Let's look at the differences between consecutive terms: 3 - 1 = 2 6 - 3 = 3 10 - 6 = 4 Step 2: Identify the pattern in the differences. The differences are increasing by 1 each time: 2, 3, 4, So, the next difference should be 5. Step 3: Apply the pattern to find the value of x. To find x, we add the next difference (5) to the last known term (10): x = 10 + 5 x = 15 Step 4: Verify the pattern with the subsequent terms. If x = 15, the next difference should be 6: 21 - 15 = 6 (This matches the pattern) The next difference should be 7: 28 - 21 = 7 (This also matches the pattern) The value of x is 15. 3 done, 2 left today. You're making progress.