Where is the Middle of a Fibonacci Sequence? - Finding the Center of Generalized Fibonacci Numbers

Explore the fascinating mathematical concept of locating the middle term in generalized Fibonacci sequences during this Berkeley seminar presentation. Delve into doubly-infinite sequences of integers where each term represents the sum of its two predecessors, such as ..., -11, 8, -3, 5, 2, 7, 9, 16, 25, 41, .... Learn how to mathematically define the precise middle term of these sequences through a rigorous and unambiguous approach. Discover a natural and elegant organizational framework for understanding all Fibonacci sequences, revealing the underlying beauty and structure of these mathematical patterns.