Indefinite sum

Well, imagine you have a big jar of candy. You want to know how many pieces of candy are inside, but you can't just count them one by one, because there are too many.

So instead, you decide to count how many pieces of candy you can take out at a time. Let's say you take out 10 pieces of candy. You count them and write down the number 10 next to your jar.

Then you take out another 10 pieces of candy, and you count those too. This time you add 10 to the previous number and write down 20 next to your jar.

You keep doing this, taking out 10 pieces of candy at a time and adding the result to the previous total. Each time, you get a bigger and bigger number.

This is kind of like an indefinite sum. It's a way of adding up a lot of numbers without actually knowing how many numbers there are. You just keep adding them up until you decide to stop.

In math, an indefinite sum is an expression that represents an unlimited series of numbers added together. You can't actually add up an infinite number of things, but you can approximate the sum by adding up as many numbers as you want.

So if you have an indefinite sum like 1 + 2 + 3 + 4 + ..., you can add up the first few numbers (1 + 2 + 3 + 4) and get 10. But there's no real end to the series, so you can keep adding up more and more numbers to get a closer approximation to the actual sum.

Just like with the jar of candy, the more numbers you add up, the closer you'll get to the real total.