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Article #64Re: Fibonacci problem....
From: Ken Pledger
Date: Wed, 22 Jun 2011 21:12
Date: Wed, 22 Jun 2011 21:12
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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.
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