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Make A Fib (Posted on 2010-07-09) Difficulty: 2 of 5
Prove whether or not any Fibonacci number, F(n), can be constructed by using
F(n) F(n-1)'s and the operators +,-,*,/
(Provided that F(n-1)>0 )
For example I can make a 5 using 5 3's: 3 + 3/3 + 3/3

No Solution Yet Submitted by Larry    
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Hints/Tips re: Solution | Comment 2 of 8 |
(In reply to Solution by Praneeth)

I don't think that is the same thing.
Praneeth's solution was to produce an F(n-2) using F(n) F(n-1)'s.

My question asked for production of an F(n) using F(n) F(n-1)'s.  

So instead of making a 5 using 5 3's, Praneeth's solution (if I understand it correctly) would be to make a 2 using 5 3's.  Even then, the 1st 4 3's can make the 2:  3/3 + 3/3, but then there's a pesky 3 leftover, not enough to make a zero, ie 3-3.

  Posted by Larry on 2010-07-09 21:19:06
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