# Fibonacci Sequence question

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• Nov 1st 2012, 07:46 AM
Arkious
Re: Fibonacci Sequence question
Fn+3 = Fn+1 + Fn + Fn+1?

But how is this used with 1/2(Fn+3 - Fn)?
• Nov 1st 2012, 08:28 AM
a tutor
Re: Fibonacci Sequence question
Quote:

Originally Posted by Arkious
Fn+3 = Fn+1 + Fn + Fn+1?

But how is this used with 1/2(Fn+3 - Fn)?

Simplify and make $F_{n+1}$ the subject.

As you're having trouble with stuff like this you should probably talk to your teacher about how to build up your algebra skills. Sooner rather than later.

Good luck with it.

:)
• Nov 1st 2012, 09:29 PM
Salahuddin559
Re: Fibonacci Sequence question
Hi Arkious,

Salahuddin
Maths online
• Nov 2nd 2012, 11:48 AM
Arkious
Re: Fibonacci Sequence question
when did i double post???

anways, im assuming you guys had as much trouble as i did, as when my tutor replied to me telling me that by showing Fn+1 = 1/2(Fn+3 - Fn) is the final answer and all i needed to do was work it out.

If i had have known that in the 1st place i would have been looking at this question in a completely different way.
• Nov 2nd 2012, 12:22 PM
Arkious
Re: Fibonacci Sequence question
So, Fn+1 = 1/2(Fn+3 - Fn). By rearranging;

Fn+3 = Fn+2 + Fn+1
(Fn+1 + Fn) + Fn+1
Fn+3 = 2Fn+1 + Fn

To prove this, if Fn = 5;

8 = 1/2(21 - 5)
8 = 1/2(16)
• Nov 2nd 2012, 12:30 PM
a tutor
Re: Fibonacci Sequence question
Quote:

Originally Posted by Arkious
when did i double post???

anways, im assuming you guys had as much trouble as i did, as when my tutor replied to me telling me that by showing Fn+1 = 1/2(Fn+3 - Fn) is the final answer and all i needed to do was work it out.

If i had have known that in the 1st place i would have been looking at this question in a completely different way.

Yes. It was really difficult. So much so that I'm worn out and won't be able to help you again if your problems are all so difficult.

The good news is that there are lots of people here who can help you with these extremely difficult problems.
• Nov 2nd 2012, 12:37 PM
Arkious
Re: Fibonacci Sequence question
that wasnt meant to be a dig at you as you took it. not all of us have the same mathematical skills as some hence im trying to get my head round this.

i implyed that you had trouble as really, if i had have known that all i was looking for was proving Fn+1 = 1/2(Fn+3 - Fn), then thats all you would have said.

I thankyou for your help, but did not mean to insult your intellegence, i merely thought you missunderstud it like i did.

But 'the good news' is that i now know how unintellegent i am as my problems are 'so difficult'
• Nov 2nd 2012, 01:02 PM
a tutor
Re: Fibonacci Sequence question