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
You're on a roll — The image shows the formula for the n-th term of a sequence: T_n = 2 × 2n - 2. Step 1: Simplify the expression for T_n. First, perform the multiplication 2 × 2n. T_n = 4n - 2 This is the general formula for the n-th term of the sequence. Step 2: Find the first few terms of the sequence using the simplified formula. To find the first term (T_1), substitute n=1: T_1 = 4(1) - 2 = 4 - 2 = 2 To find the second term (T_2), substitute n=2: T_2 = 4(2) - 2 = 8 - 2 = 6 To find the third term (T_3), substitute n=3: T_3 = 4(3) - 2 = 12 - 2 = 10 To find the fourth term (T_4), substitute n=4: T_4 = 4(4) - 2 = 16 - 2 = 14 The simplified formula for the n-th term is T_n = 4n - 2. The first few terms of the sequence are 2, 6, 10, 14, . What's next? 📸