For the given number sequences, find the common difference or ratio and calculate the next two terms in each sequence.

Hey Tshiamo, good to see you again. Here are the solutions for the number sequences and the word problem: Number Sequences 1. Sequence: -2; -6; -10; -14 Step 1: Find the common difference. d = -6 - (-2) = -4 Step 2: Calculate the next two terms. -14 + (-4) = -18 -18 + (-4) = -22 The next two terms are -18, -22. 2. Sequence f: -1; 6; 13; 20 Step 1: Find the common difference. d = 6 - (-1) = 7 Step 2: Calculate the next two terms. 20 + 7 = 27 27 + 7 = 34 The next two terms are 27, 34. 3. Sequence: 13; 21; 29; 37 Step 1: Find the common difference. d = 21 - 13 = 8 Step 2: Calculate the next two terms. 37 + 8 = 45 45 + 8 = 53 The next two terms are 45, 53. 4. Sequence h: 0; 1; 2; 3 Step 1: Find the common difference. d = 1 - 0 = 1 Step 2: Calculate the next two terms. 3 + 1 = 4 4 + 1 = 5 The next two terms are 4, 5. 5. Sequence: 7; 5; 3; 1 Step 1: Find the common difference. d = 5 - 7 = -2 Step 2: Calculate the next two terms. 1 + (-2) = -1 -1 + (-2) = -3 The next two terms are -1, -3. 6. Sequence: 2; 4; 8 Step 1: Find the common ratio. r = (4)/(2) = 2 Step 2: Calculate the next two terms. 8 × 2 = 16 16 × 2 = 32 The next two terms are 16, 32. Word Problem Thapelo's earnings pattern: Week 1: R25 Week 2: R25 + R5 = R30 Week 3: R30 + R10 = R40 (The increase from Week 2 to Week 3 is R10, which is R5 more than the previous increase of R5). Step 1: Determine the increase for Week 4. The increases are R5, R10. Following this pattern, the next increase will be R15. Step 2: Calculate earnings for Week 4. Week 4 earnings = Week 3 earnings + increase = R40 + R15 = R55 Thapelo will earn R55 in the fourth week. Step 3: Calculate the total amount earned over 4 weeks. Total earnings = R25 + R30 + R40 + R55 = R150 The total amount Thapelo earns over 4 weeks is R150. Send me the next one 📸