Subject: another proof · Posted: 2005-01-21, 09:01am
Rank: ? (171)
Member #: 11947
Fn <= phi^(n-1)
Fn is the n'th fibonacci number, and phi is (1 + sqrt(5) )/2.
Some notes about the number phi, it is defined by the greeks using ratios of line segments, but for this problem it is more usefull to describe it this way:
1 + phi = phi^2
So phi, is a number, when squared equals itself plus one.