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Science journals of interest: Scientific American - Nature - New Scientist - Science AAAS - Science Daily

LAST EDITED: March 17, 2015

Here are some interesting links I had stickied:
Yeano's thread: Proving Something is Independent of our Axioms.
Yeano's thread: Algebraic Topology and Model Theory

We have LaTeX running on GT! Thanks to Xhin!

Fibonacci numbers in closed form
Posted: Posted November 19th, 2017
Edited November 19th, 2017 by The Fly

You all know the Fibonacci numbers, which we'll label as a function like this:

\(F(0) = 1, \quad F(1) = 1, \quad F(2) = 2, \quad F(3) = 3, \quad F(4) = 5, \quad F(5) = 8, \quad F(6) = 13, \dots \)

Each number is the sum of the previous two. According to this notation, the 5th Fibonacci number is 8.

Without looking it up anywhere on the internet (nor wiki or anywhere), can you obtain and write down a closed form for the nth Fibonacci number -- i.e., a closed formula that gives you \(F(n)\) directly (without reference to the previous two numbers)?

Thank you,
The Fly


There are 1 Replies

pie= 3.14

Posted November 20th, 2017 by Brandy
Reply to: Fibonacci numbers in closed form

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