One of the simplest and beautiful mathematical sequences. The simplicity: 1, 1, 2, 3, 5, 8 ... is such that each term is the sum of the previous two terms. Examples of the sequence can be found in nature, architecture and number theory. In this investigation, students explore some of the patterns within the sequence such as the consecutive sum of the squared terms. What about the last digit of term 60, 61, 62 ... what pattern do these form? Don't worry, the magical phi is not left out, including amazing relationships such as 1 + phi. Check it out!