Let α,β be the roots of x2−x−1=0 (α>β) and m,n∈Z,k∈W such – InterviewSolution

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1.	Let α,β be the roots of x2−x−1=0 (α>β) and m,n∈Z,k∈W such that ak=mαk+nβk. If a4=35, then the value of 3m+2n is equal to
Answer» Let $α, β$ be the roots of $x^{2} - x - 1 = 0$ $(α > β)$ and $m, n \in Z, k \in W$ such that $a_{k} = m α^{k} + n β^{k} .$ If $a_{4} = 35,$ then the value of $3 m + 2 n$ is equal to

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