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# a homework question that i really need help on.

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

May 13, 2021

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c = (3 + sqrt(5))/5.

May 13, 2021
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no is not right

May 14, 2021