Find the next term in the sequence: 4, 7, 10, 13, _____.

Here are the solutions to the mathematics questions: 1. Find the next term in the sequence: 4, 7, 10, 13, ____ Step 1: Find the common difference between consecutive terms. 7 - 4 = 3 10 - 7 = 3 13 - 10 = 3 The common difference is 3. Step 2: Add the common difference to the last term to find the next term. 13 + 3 = 16 The next term is 16. The correct option is b) 16. 2. What is the nth term of the sequence 5, 8, 11, 14, ...? Step 1: Identify the first term (a) and the common difference (d). The first term a = 5. The common difference d = 8 - 5 = 3. Step 2: Use the formula for the nth term of an arithmetic progression, T_n = a + (n-1)d. T_n = 5 + (n-1)3 T_n = 5 + 3n - 3 T_n = 3n + 2 The nth term is 3n + 2. The correct option is a) 3n + 2. 3. What is the 10th term of the sequence with nth term 2n + 1? Step 1: Substitute n=10 into the given nth term formula. T_n = 2n + 1 T_10 = 2(10) + 1 Step 2: Calculate the value. T_10 = 20 + 1 T_10 = 21 The 10th term is 21. The correct option is c) 21. 4. Which of the following represents the sequence 6, 10, 14, 18, ...? Step 1: Identify the first term (a) and the common difference (d). The first term a = 6. The common difference d = 10 - 6 = 4. Step 2: Use the formula for the nth term of an arithmetic progression, T_n = a + (n-1)d. T_n = 6 + (n-1)4 T_n = 6 + 4n - 4 T_n = 4n + 2 The sequence is represented by 4n + 2. The correct option is a) 4n + 2. 5. A shirt costs N2,000. If its price increases by 10%, the new price is: Step 1: Calculate the amount of the increase. Increase = 10\% of N2,000 = (10)/(100) × 2000 = N200 Step 2: Add the increase to the original price. New Price = N2,000 + N200 = N2,200 The new price is N2,200. The correct option is b) N2,200. 6. A television costing N50,000 is reduced by 20%. Find the new price. Step 1: Calculate the amount of the reduction. Reduction = 20\% of N50,000 = (20)/(100) × 50000 = N10,000 Step 2: Subtract the reduction from the original price. New Price = N50,000 - N10,000 = N40,000 The new price is N40,000. The correct option is a) N40,000. 7. 25% of 240 is: Step 1: Calculate the percentage. 25\% of 240 = (25)/(100) × 240 = (1)/(4) × 240 = 60 25\% of 240 is 60. The correct option is c) 60. 8. If a student's score increases from 60 to 72, the percentage increase is: Step 1: Calculate the absolute increase in score. Increase = 72 - 60 = 12 Step 2: Calculate the percentage increase using the formula IncreaseOriginal Score × 100\%. Percentage Increase = (12)/(60) × 100\% = (1)/(5) × 100\% = 20\% The percentage increase is 20%. The correct option is c) 20%. 9. A net is used to show the ____ of a solid. A net is a two-dimensional pattern that can be folded to form a three-dimensional solid. It displays all the faces of the solid, which collectively form its surface. The correct option is b) Surface. 10. Which solid has six square faces? A cube is a three-dimensional solid object bounded by six identical square faces. The correct option is c) cube. 3 done, 2 left today. You're making progress.