I have a question that I would like to pose to a church youth group, but it involves math. I have a rudimentary understanding of how to figure out the problem (English teacher here!), but don't fully understand the math behind it. Here is the scenario: Suppose all 10 of you decided to convert 5 people to our faith, and committed to walking with these people for 5 years in order to help them grow. After 5 years, if each of you worked for 5 converts, there would be 50 new members of the faith. After those 5 years, suppose all of those 50 people took 5 people and over the course of 5 years led those people to the faith. And then those 250 people.... And so on and so on. After 50 years, how many people would be converted to the faith? How long would it take for the entire world to be converted to the faith? So I was wondering if you could tell me if these are questions high schoolers will be able to answer, and if they have trouble getting started, what is a good hint I can give them to get them started in the right direction? Thanks!