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
Welcome back Lethokuhle — missed you this week. Here are the solutions to the questions: 2.2 Step 1: Identify the pattern for the last number in each line. The last number in Line n is given by the formula 2n - 1. Step 2: Calculate the last number for Line 10. For Line 10, substitute n=10 into the formula: 2(10) - 1 = 20 - 1 = 19 The last number in Line 10 is 19. 2.3 Step 1: Identify the pattern for the sum of numbers in each line. The sum of the numbers in Line n is given by the formula n^2. Step 2: Calculate the sum for Line 12. For Line 12, substitute n=12 into the formula: 12^2 = 144 All of the numbers in Line 12 add up to 144. 2.4 To quickly add up the first 20 odd numbers, you can use the pattern observed: the sum of the first n odd numbers is equal to n^2. Step 1: Identify the number of odd numbers to be added. We need to add the first 20 odd numbers, so n=20. Step 2: Apply the pattern to find the sum. The sum of the first 20 odd numbers is 20^2. 20^2 = 400 A quick way to add up the first 20 odd numbers is to square the number of odd numbers, which is 20^2 = 400. Send me the next one 📸