Fibonacci problem....

[Dennis]

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=______

[Ken Pledger]

Post by Dennis
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.

[Dennis]

Post by Ken Pledger

Post by Dennis
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.