The two Recurrence Sequences
with
,
and
,
, can be solved for the individual
and
. They are given by
where
A useful related identity is
![\begin{displaymath}
U_{n-1}+U_{n+1}=V_n.
\end{displaymath}](b_1267.gif) |
(8) |
Binet's Formula is a special case of the Binet form for
corresponding to
.
See also Fibonacci Q-Matrix
© 1996-9 Eric W. Weisstein
1999-05-26