Answer:1, -4, 9, -16, 25, -36,Step-by-step explanation:To determine the correct algebraic expression for the set of number expressions, let's analyze the given numbers:1, -4, 9, -16The pattern seems to be:1², -2², 3², -4²This suggests an alternating sign pattern, with each term being a perfect square.The algebraic expression could be:(-1)^(n+1) * n²Where n = 1, 2, 3, 4, ...This expression would generate the sequence:1, -4, 9, -16, 25, -36,