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Solve, Fibonacci and Lucas Numbers ?

lvl107
20-Turquoise

Solve, Fibonacci and Lucas Numbers ?

Hello Everyone.

(1).PNG

(2).PNG

   The question is : Solve, 5 of Fibonacci numbers  =  5 of Lucas numbers ?

     

         Thanks in advance for your time and help.

              Regards.

1 ACCEPTED SOLUTION

Accepted Solutions
LucMeekes
23-Emerald III
(To:lvl107)

I'll dare the conclusion that therea are infinite solutions:

But I'll not calculate them.

Success!

Luc

View solution in original post

10 REPLIES 10
LucMeekes
23-Emerald III
(To:lvl107)

Not found within a reasonable range of numbers:

Success!
Luc

LucMeekes
23-Emerald III
(To:LucMeekes)

Ah, the second sequence gives skewed Fibonacci numbers:

LucMeekes
23-Emerald III
(To:LucMeekes)

Now we can play other games:

Luc

lvl107
20-Turquoise
(To:lvl107)

I'm sorry. I think my question, the above, is not clear. And my question would be :

(3).PNG

   How many solutions ?

       Best Regards.

LucMeekes
23-Emerald III
(To:lvl107)

With DISTINCT you mean that i[0 and i[1 must be different, etc?

Luc

lvl107
20-Turquoise
(To:LucMeekes)

Yes, it is. And i[1 - i[0  > 1  (not consecutive)

   Loi

LucMeekes
23-Emerald III
(To:lvl107)

Ah, that's another restriction!

What's the reason for banning i[1 = i[0 + 1 ?

LucMeekes
23-Emerald III
(To:lvl107)

I'll dare the conclusion that therea are infinite solutions:

But I'll not calculate them.

Success!

Luc

lvl107
20-Turquoise
(To:LucMeekes)

  I greatly appreciate your time and help, Luc. And I base on your hint, I have got the following with "by hand" :

(5).PNG

         Best Regards.

              Loi

VladimirN
24-Ruby II
(To:lvl107)

Loi Le wrote:

  ... I have got the following with "by hand"...    

Art?

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