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
To solve question 62, we are given the general term of a sequence as u_n = 2n(2n+1). We need to find the sum of the second and fourth terms. Step 1: Find the second term (u_2). Substitute n=2 into the formula for u_n: u_2 = 2(2)(2(2)+1) u_2 = 4(4+1) u_2 = 4(5) u_2 = 20 Step 2: Find the fourth term (u_4). Substitute n=4 into the formula for u_n: u_4 = 2(4)(2(4)+1) u_4 = 8(8+1) u_4 = 8(9) u_4 = 72 Step 3: Find the sum of the second and fourth terms. Sum = u_2 + u_4 Sum = 20 + 72 Sum = 92 Step 4: Compare the result with the given options. The calculated sum is 92, which corresponds to option B. The final answer is B. 92.