A closed-form expression is a way to write a math problem in a very neat and simple way using only basic math symbols like + (plus), - (minus), x (multiply), and / (divide).
Think of it like baking cookies. If you have the recipe with all the ingredients and instructions, you can easily make cookies. A closed-form expression is like having that recipe for math problems. It tells you exactly what to do to get the answer without any guesswork or complicated steps.
For example, if you want to find the sum of all numbers from 1 to 100, you could add them up one by one, or you could use a closed-form expression. The closed form expression for this problem is (100+1) x 100/2, which equals 5050. This formula tells you to add the first and last numbers, multiply by the number of pairs (which is 100 divided by 2), and voila, you have your answer!
Overall, closed-form expressions are a helpful tool for solving math problems quickly and easily without having to use complicated formulas or guesswork.