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 are the solutions to the problems: SECTION D - NUMBER PATTERNS & ALGEBRAIC PROCESSES 17. Find the next two numbers in the sequence: 2, 5, 11, 23, ___, ___ Step 1: Find the difference between consecutive terms. 5 - 2 = 3 11 - 5 = 6 23 - 11 = 12 The differences are doubling (3, 6, 12). Step 2: The next difference will be 12 × 2 = 24. 23 + 24 = 47 Step 3: The difference after that will be 24 × 2 = 48. 47 + 48 = 95 The next two numbers are 47, 95. The correct option is C. 18. Simplify: 3x + 5x - 2x Step 1: Combine the like terms by adding and subtracting their coefficients. 3x + 5x - 2x = (3+5-2)x = (8-2)x = 6x The answer is 6x. The correct option is B. 19. Solve: 2x + 5 = 17 Step 1: Subtract 5 from both sides of the equation to isolate the term with x. 2x + 5 - 5 = 17 - 5 2x = 12 Step 2: Divide both sides by 2 to solve for x. (2x)/(2) = (12)/(2) x = 6 The answer is 6. The correct option is B. What's next?