+0  
 
0
891
1
avatar+645 

Let

 

\(\begin{align*} A_0 &= 6 \\ A_1 &= 5 \\ A_n &= A_{n - 1} + A_{n - 2} \; \textrm{for} \; n \geq 2. \end{align*}\)

There is a unique ordered pair (c,d) such that \(c\phi^n + d\widehat{\phi}^n\) is the closed form for sequence \(A_n\).

Find c using the Fibonacci and Lucas number sequences.

 Feb 14, 2018
 #1
avatar
0

c = 2 sqrt(5)

 Nov 10, 2019

2 Online Users

avatar
avatar