An alternating factorial is a type of math problem where you multiply a bunch of numbers together in a special way. First, you decide on a number that you want to start with, let's say the number 5. Then, you multiply that number by the next lower number, which is 4. Next, you multiply that result by the next even lower number, which is 3. After that, you multiply that result by the next even even lower number, which is 2. Lastly, you multiply that result by the next odd lower number, which is 1.
Now, the interesting part is that every other number you multiply is negative. This means that if you multiply 5 x 4 x 3 x 2 x 1, you get a positive answer. But if you multiply -5 x 4 x -3 x 2 x -1, you get a negative answer. And that's what an alternating factorial is all about - multiplying numbers in a certain order while alternating between positive and negative numbers.