Math Is Fun Forum

RickyJ

Guest

Fibonacci Sequence

Can anyone tell me the nth term for the fibonacci sequence and how you work it out please?

Thanks

All_Is_Number

Member

Registered: 2006-07-10

Posts: 258

Re: Fibonacci Sequence

Can anyone tell me the nth term for the fibonacci sequence and how you work it out please?

Thanks

The Binet Formula:

(((sqrt(5)+1)/2)^n-(-1)^n*((sqrt(5)-1)/2)^n)/(sqrt(5))

Here is a good page to get a look at the formula in a nicer format.

Last edited by All_Is_Number (2006-07-26 13:35:45)

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George,Y

Member

Registered: 2006-03-12

Posts: 1,379

Re: Fibonacci Sequence

CHECK HERE, POST 36

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X'(y-Xβ)=0

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,711

Re: Fibonacci Sequence

George! You had posted it here already!

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

George,Y

Member

Registered: 2006-03-12

Posts: 1,379

Re: Fibonacci Sequence

yes, but it may look too difficult to read-I don't know if anybody understands it.

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X'(y-Xβ)=0

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

Re: Fibonacci Sequence

from the link, another way to right it which is a bit easier to look at would be

this works for any number, although for negative non integers, it requires complex numbers, any complex number value of n can be computed with complex numbers only

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