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Greaterpathmagician

Member

Registered: 2009-06-16

Posts: 32

Urgent: Fibonacci sequence investigation

Hi everyone

I have a test on Friday on geometric, artithmetic and Fibonacci sequences and I was givin a booklet which is essential to study for the test. I am stuck on the the very last question which is below and on the picture of the table.

Question: Investigate the following results and find rules in terms of Fibonacci number.

I have to fill in the table by using the rule Fn  (Fn+1 + Fn-1) and
finish the rule Fn  (Fn+1 + Fn-1) = ?

Thank you, I will greatly appreciate the help

Last edited by Greaterpathmagician (2009-07-29 01:53:50)

Greaterpathmagician

Member

Registered: 2009-06-16

Posts: 32

Re: Urgent: Fibonacci sequence investigation

I'm having trouble upload the table. How do you upload the image?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Urgent: Fibonacci sequence investigation

Hi Greaterpathmagician;

f(n) = the nth fibonacci number with f(1)=1 and f(2)=1:

When n=2 the value of f(2)*(f(3)+f(1)) =3

When n=3 the value of f(3)*(f(4)+f(2)) =8

When n=4 the value of f(4)*(f(5)+f(3)) =21

When n=5 the value of f(5)*(f(6)+f(4)) =55

You can conjecture that

See if you can prove this, before you are shown.

Last edited by bobbym (2009-07-29 02:26:08)

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