One, two, three o’clock…
five o’clock rock.
What a good job Bill Hailey didn’t know the Fibonacci sequence. 34 o’clock rock just doesn’t go.
five o’clock rock.
What a good job Bill Hailey didn’t know the Fibonacci sequence. 34 o’clock rock just doesn’t go.
December 10, 2007 at 5:46 pm
Explain.
December 10, 2007 at 5:53 pm
I can’t, I just thought it was funny.
December 10, 2007 at 7:51 pm
I thought it was funny too.
Somebody’s been listening to In Our Time.
December 10, 2007 at 8:22 pm
Oh! So…
ø2=ø+1=F2ø+F1+rock
ø3=2ø+1=F3ø+F2
ø4=3ø+2=F4ø+F3-clock
ø5=5ø+3=F5ø+F4
. . .
øn=Fnø+Fn-1
øn/Fn=Fnø/Fn+Fn-1/Fn
øn/Fn=ø+Fn-1/Fn
lim øn/Fn=ø+lim Fn-1/Fn [Here I use "lim" as short for "the limit as n approaches infinity"]
lim øn/Fn=ø+1/ø=(ø2+1)/ø=(ø+2)/ø=sqr(5)
lim øn/sqr(5)=lim Fn
Fn=øn/sqr(5) approximately
I get it!
December 10, 2007 at 9:27 pm
At last!