*We are discussing the Aguinaldo sample problem. This is Part 1 of a series of posts which started here.*

Emilio has $latex N$ relatives. During Christmas, the first relative gives him $latex P$ pesos as a gift. For $latex 2 \leq i \leq N$, the $latex i$th relative gives exactly the same amount as the $latex (i-1)$th relative. How much is the total money that Emilio receives from his relatives?

This is the problem statement. **This is just like the problems you get in your math classes.** The main difference is that instead of numbers, it usually involves variables.

The problem statement starts by talking about two variables $latex N$ and $latex P$. Upon reading it, we see that $latex N$ is the number of Emilio’s relatives and $latex P$ is the amount of money given to him by the **first** relative.

It then talks about how much the other relatives give. The $latex i$th relative is said to give * exactly* the same amount as the $latex i-1$th relative. This statement only applies when $latex 2 \leq i \leq N$. And so, it means that the 2nd relative gives exactly the same amount as the 1st relative. And so, the 2nd relative also gives $latex P$. Similarly, the 3rd relative gives exactly the same as the 2nd relative. And so on.

Somewhere at the end of the problem statement, you will usually see a question. In our case, we want to know the total money Emilio receives from his relatives.