As you learn more about programming, you'll find that you can teach the computer to do more and more work for you. Let's use an example you may recognize from math class. Try this even if math isn't your favorite class. You'll learn to get the computer to do your work for you.
Pascal's triangle is a visualization of math pattern. The first row is a single 1. The following rows all have one more item than the previous. Each row is created by adding 1 as the first and last element. Each inner element is found by taking the sum of the two numbers above directly to the left and right. You can see this in the row 1 2 1. The 2 is the sum of the two 1s above. Similarly, the 1 3 3 1 row: The first 3 is from the 1 2 in the row above, and next 3 is from the 2 1 that ends the row above.
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
1 10 45 120 210 252 210 120 45 10 1
1 11 55 165 330 462 462 330 165 55 11 1
1 12 66 220 495 792 924 792 495 220 66 12 1
1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1
1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1
1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1
1 16 120 560 1820 4368 8008 11440 12870 11440 8008 4368 1820 560 120 16 1Computing successive rows in the triangle is not hard. But, it's very repetitive. Computers are great at tasks like these. You can teach it!
A good way to teach the computer is to start by exploring the problem yourself. The first step is to create some simple code that generates the first few rows. Try the following code yourself. It uses some of the concepts you've already learned. This example creates an array for each row of elements. It initializes the elements in the array. The last part prints the values in each row.
The format of the output doesn't form a nice triangle yet. Let's concentrate on the values first. Try and add a couple more rows to the triangle. Copy and paste the row2 line and add rows 3 and 4. Do the same with the foreach loops that write the values.