Pay it Forward

One of my favourite films is called “Pay It Forward” (http://gb.imdb.com/title/tt0223897/). This resource is based on the film. There is a young boy who decides to make the world a better place, he completes three good deeds to three different people, and when these people want to thank him he asks them to complete three good deeds to three people and pay it forward. Therefore this resource is designed on that concept except that I have put in a time limit, the deeds are all completed in one day. From that the pupils could work out a general rule and then calculate the number of days it takes a set amount of people to have completed a good deed, or, the numbers of people after a certain amount of days. This incorporates geometric sequences.