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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.
Syllabus
[Berkeley Seminar] Sam Vandervelde: Where is the middle of a Fibonacci sequence?
Taught by
Topos Institute