Fibonacci problem....

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3 total messages Started by Dennis Wed, 22 Jun 2011 11:53

#63

Author: Dennis
Date: Wed, 22 Jun 2011 11:53

23 lines
1897 bytes

Hi, I've got a problem understanding a question I've been given about 
Fibonacci series.

The question is shown below.
From Fibonacci series I think F1=1, F3=2, F5=5, F7=13, F9=34 etc

I dont understand what is meant by "investigate"?

Thanks



The question is:

Invstigate:  F1 + F3 + F5 + ..... + F2n-1

(Where the 1,3,5 and 2n-1 are in sub script)


Therefore the formula is:


F1 + F3 + F5 + ..... + F2n-1 = __________     for n=______

Re: Fibonacci problem....

#64

Author: Ken Pledger
Date: Wed, 22 Jun 2011 21:12

21 lines
1743 bytes

In article <GNKdnVYkE4g4SpzTnZ2dnUVZ_tudnZ2d@westnet.com.au>,
 "Dennis" <dennis@blibber.com> wrote:

> Hi, I've got a problem understanding a question I've been given about 
> Fibonacci series.
> ....
> Investigate:  F1 + F3 + F5 + ..... + F2n-1
> 
> (Where the 1,3,5 and 2n-1 are in sub script)
> ....

   It looks as if you've been asked to do some exploring - a miniature 
piece of research.  Try writing down a dozen or so terms of the 
Fibonacci sequence, then calculating the first few sums of the 
odd-position terms, then looking for a pattern in all thase numbers.  
(That's a pretty broad hint.)  If you can conjecture a formula for the 
sums, then see if you can prove it.

   Good luck!

      Ken Pledger.

Re: Fibonacci problem....

#65

Author: Dennis
Date: Thu, 23 Jun 2011 11:31

27 lines
2502 bytes

"Ken Pledger" <ken.pledger@vuw.ac.nz> wrote in message 
news:ken.pledger-982027.09125723062011@news.eternal-september.org...
> In article <GNKdnVYkE4g4SpzTnZ2dnUVZ_tudnZ2d@westnet.com.au>,
> "Dennis" <dennis@blibber.com> wrote:
>
>> Hi, I've got a problem understanding a question I've been given about
>> Fibonacci series.
>> ....
>> Investigate:  F1 + F3 + F5 + ..... + F2n-1
>>
>> (Where the 1,3,5 and 2n-1 are in sub script)
>> ....
>
>   It looks as if you've been asked to do some exploring - a miniature
> piece of research.  Try writing down a dozen or so terms of the
> Fibonacci sequence, then calculating the first few sums of the
> odd-position terms, then looking for a pattern in all thase numbers.
> (That's a pretty broad hint.)  If you can conjecture a formula for the
> sums, then see if you can prove it.
>
>   Good luck!
>
>      Ken Pledger.


Thanks Ken. I will give that a go and see how I go.

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