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: Find the differences between consecutive terms in the given sequence. The sequence is 10, 14, 26, 42, 70, ? Calculate the first differences: 14 - 10 = 4 26 - 14 = 12 42 - 26 = 16 70 - 42 = 28 The sequence of differences is 4, 12, 16, 28. Step 2: Identify the pattern in the sequence of differences. Let's examine if there's a relationship between these differences. Notice that: 16 = 12 + 4 28 = 16 + 12 This shows that each difference (starting from the third one) is the sum of the two preceding differences. This is a Fibonacci-like sequence for the differences. Step 3: Apply the pattern to find the next difference. Following this pattern, the next difference will be the sum of the last two differences found: Next difference = 28 + 16 = 44. Step 4: Add the next difference to the last term of the original sequence to find the missing term. The last term in the given sequence is 70. Missing term = 70 + 44 = 114. The complete sequence is 10, 14, 26, 42, 70, 114. The missing term is 114. Send me the next one 📸