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
Here's how to find the common difference: Step 1: Identify the first two terms of the sequence. The first term is a_1 = (1)/(2). The second term is a_2 = (3)/(4). Step 2: Calculate the common difference d by subtracting the first term from the second term. d = a_2 - a_1 d = (3)/(4) - (1)/(2) To subtract these fractions, find a common denominator, which is 4. (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) Now substitute this back into the equation for d: d = (3)/(4) - (2)/(4) d = (3-2)/(4) d = (1)/(4) The common difference is (1)/(4). 3 done, 2 left today. You're making progress.