Identify the first term and common ratio.

Step 1: Identify the first term and common ratio. The sequence is a geometric progression: 36, 12, 4, The first term is a = 36. The common ratio is r = (12)/(36) = (1)/(3). Step 2: Calculate the sum to infinity. The sum to infinity of a geometric progression is given by the formula S_ = (a)/(1-r), provided that |r| < 1. In this case, |r| = |(1)/(3)| < 1, so the sum to infinity exists. S_ = (36)/(1 - 1)3 S_ = (36)/(3)3 - (1)/(3) S_ = (36)/(2)3 S_ = 36 × (3)/(2) S_ = 18 × 3 S_ = 54 The correct option is B. The sum to infinity is 54. 27. Step 1: Calculate the printing rate. The computer prints 2100 words in 5 minutes. Rate = Number of wordsTime Rate = 2100 words5 minutes = 420 words/minute Step 2: Calculate the number of words printed in 6(1)/(2) minutes. Time = 6(1)/(2) minutes = 6.5 minutes. Number of words = Rate × Time Number of words = 420 words/minute × 6.5 minutes Number of words = 420 × (13)/(2) Number of words = 210 × 13 Number of words = 2730 The correct option is B. The number of words printed is 2730. 28. The number given is 50.999. The question asks to express it correct to 3 decimal places. If 50.999 is interpreted as the repeating decimal 50.999, then it is equivalent to 51. To express 51 correct to 3 decimal places, we write it as 51.000. Among the given options, 51.0 (Option A) is equivalent to 51.000. The correct option is A. 50.999, expressed correct to 3 decimal places, is 51.0. 29. The number is 4.035. We need to find the value of the digit 3. The digit 3 is in the hundredths place. Its value is 3 × (1)/(100) = 0.03. The correct option is A. The value of the digit 3 in 4.035 is 0.03. 30. The symbol means "less than or equal to". The correct option is D. The symbol means Less than or equal to. 31. Step 1: Locate point T on the graph. By observing the coordinates on the graph, point T is located at x = -2 and y = -2. The coordinates of point T are (-2, -2). The correct option is B. The point T on the graph is (-2, -2). 32. Step 1: Apply the order of operations (PEMDAS/BODMAS). Multiplication should be performed before subtraction. 16 - 2 × 3 16 - 6 10 The correct option is B. Evaluating 16 - 2 × 3 gives 10. 33. Step 1: Simplify the equation of the line. The equation of the line is 2y = 4x. Divide both sides by 2: y = 2x Step 2: Check which option satisfies the equation y = 2x. A (4, 2): 2 = 2(4) 2 = 8 (False) B (1, 2): 2 = 2(1) 2 = 2 (True) C (2, 1): 1 = 2(2) 1 = 4 (False) D (1, 1): 1 = 2(1) 1 = 2 (False) The point (1