- #1
moe darklight
- 409
- 0
This is crazy. I have no idea what the textbook is saying at the end.
So far, so good. Then this flies at me out of nowhere:
We do?? Where the hell did that come from?
I've never stared at something for so long without having the slightest clue what is going on. I held up the whole class today for like 20 minutes, and it seemed to make sense when the prof explained it . . . but now I look at it again, and whatever I learned, I un-leaned. Ugh, I'm so frustrated.
if we have E(0)=A, E(1)=B, And E(n)=E(n-1)+E(n-2); then E(n)=F(n-1)A+F(n)B
(Where F(n) denotes a Fibonacci number.)
So far, so good. Then this flies at me out of nowhere:
We can start with two consecutive Fibonacci numbers A=F(a) and B=F(a+1). Then the sequence E(n) is just the Fibonacci sequence shifted to the left (agreed). Hence we get the following identity:
F(a+b+1)=F(a+1)F(b+1)+F(a)F(b)
We do?? Where the hell did that come from?
I've never stared at something for so long without having the slightest clue what is going on. I held up the whole class today for like 20 minutes, and it seemed to make sense when the prof explained it . . . but now I look at it again, and whatever I learned, I un-leaned. Ugh, I'm so frustrated.