I can't figure this one out! Please help!
If F81= a and F83= b, what is F84?
2006-09-11 11:46:37 · 4 answers · asked by Ryan H 2 in Science & Mathematics ➔ Mathematics
One of the known relationships of Fibonacci numbers is as follows:
F(n+1) = F(n) + F(n-1)
So in this case, you want to know F(84) in terms of other numbers...
F(83+1) = F(83) + F(83 -1)
But for some reason, you have F(83-2). I'm hoping you just typed it wrong, and you meant to say F(82)=a, in which case the answer is just F(84) = b + a.
Of course, we can make do without it by just calculating the next step down...
F(82+1) = F(82) + F(82-1)
F(83) = F(82) + F(81)
b = F(82) + a
Which solves out to F(82) = (b-a). Which we can use to solve for F(84)...
F(84) = F(83) + F(82) = b + (b-a) = 2b -a
Hope that helps!
2006-09-11 12:15:14 · answer #1 · answered by Doctor Why 7 · 0⤊ 0⤋
It's The Letter F With The Number 84 directly next to it.
HOPE THIS HELPS
2006-09-11 18:48:55 · answer #2 · answered by skettopolis 4 · 0⤊ 1⤋
259695496911122585 = 5 x 1597 x 9521 x 3415914041
2006-09-11 18:47:55 · answer #3 · answered by DanE 7 · 0⤊ 0⤋
F83 = F81 + F82 => b = a + F82 => F82 = b - a
F84 = F83 + F82 => F84 = b + (b - a) =>
F84 = 2b - a
2006-09-11 19:20:45 · answer #4 · answered by Dimos F 4 · 0⤊ 0⤋