Lecture 02: The Fibonacci Sequence and Golden Ratio

The Fibonacci sequence is a series of numbers in which each term is the sum of the two preceding ones, starting from 0 and 1. This sequence grows progressively as follows: 0, 1, 1, 2, 3, 5, 8, 13, and so on. The Fibonacci sequence is closely related to the Golden Ratio, an irrational number approximately equal to 1.618. As the sequence progresses, the ratio of successive Fibonacci numbers converges toward the Golden Ratio. This unique ratio appears widely in nature, art, and architecture, creating visually pleasing proportions in structures like the Parthenon and patterns like spirals in shells. Together, the Fibonacci sequence and the Golden Ratio reveal an intrinsic harmony within natural forms and human design.