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've sent the same question again, so here's the solution for the sequence formula T_n = 2 × 2n - 2. Step 1: Simplify the formula for the n-th term. The given formula is: T_n = 2 × 2n - 2 First, perform the multiplication: T_n = 4n - 2 This is the simplified formula for the n-th term. Step 2: Calculate the first few terms of the sequence. To find the terms, substitute integer values for n starting from 1. For the first term (n=1): T_1 = 4(1) - 2 = 4 - 2 = 2 For the second term (n=2): T_2 = 4(2) - 2 = 8 - 2 = 6 For the third term (n=3): T_3 = 4(3) - 2 = 12 - 2 = 10 For the fourth term (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, . Last free one today — make it count tomorrow, or type /upgrade for unlimited.