Comments on: Fibonacci sequence and Golden Ratio

By: Vincent

Vincent — Tue, 10 Aug 2010 02:06:04 +0000

There’s not much to say for a closed form solution, kb. Check the Wikipedia page for the formula.
http://en.wikipedia.org/wiki/Fibonacci_number

I was calculating phi, so it doesn’t make sense to use a closed form solution which needs phi. Besides, Patrick already gave the closed form solution above.

Hint: You’ll need the Math.Pow() and Math.Sqrt() functions in C#.

By: kb

kb — Mon, 09 Aug 2010 01:48:41 +0000

Could you please show how to translate a close form solution in a C# method plz?

Thanks

By: Math Wizard - Possibly the smartest character build ever | Honeybeech

Math Wizard - Possibly the smartest character build ever | Honeybeech — Thu, 10 Dec 2009 08:34:29 +0000

[...] be on par with a striker for damage using a controller. Gives you an incentive to brush up on your Fibonacci numbers, doesn’t [...]

By: Vincent Tan

Vincent Tan — Wed, 06 May 2009 15:11:34 +0000

Thanks Patrick for the closed form solution. I was focused on the iterative programmatic approach, and I left that out.

By: Patrick Cox

Patrick Cox — Tue, 05 May 2009 23:31:14 +0000

Reading through your post, I expected to also see the closed form solution for the Fibonacci sequence. The cool thing is that it uses the golden ratio.

F(n) = ((phi)^n-(1-phi)^n)/sqrt(5)

Where phi=(1+sqrt(5))/2 a.k.a. the Golden Ratio and F(n) is the nth term in the Fibonacci sequence.

By: Vincent Tan

Vincent Tan — Mon, 26 Jan 2009 09:14:53 +0000

Anonymous, 144 rabbits at the end of 12 months assume that the Fibonacci ruling starts at 1, as in
1,1,2,3,5,8,13,21,34,55,89,144

The rabbit example makes use of the Fibonacci algorithm, not the usual Fibonacci sequence. So it’s
2,4,6,10,16,26,42,68,110,178,288,466

Besides, there’s a flaw with the sequence you’re proposing… the rabbit population cannot spawn from just one rabbit. Thanks for pointing it out though!

By: Anonymous

Anonymous — Sun, 25 Jan 2009 16:40:17 +0000

after 12 months there would be 144 rabbits not 466. if you find the 12th number of the fibonacci sequrnce then this is proved