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--- pow:problem5f23 [2023/11/06 03:11] – created mazur
+++ pow:problem5f23 [2023/11/15 18:29] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 85% round orange| Problem 5 (due Monday, November 6)>
+Let $(f_n)$ be the Fibonacci sequence: $f_1=f_2=1$, $f_{n}=f_{n-1}+f_{n-2}$ for all $n>2$.
+Prove that for every odd $n\geq 3$ the polynomial $\ \ x^{n}+f_{n}x^2-f_{n-2}\ \ $ is divisible
+by $x^2+x-1$.
+</box>
+Each of the submitted solutions is similar to one of our four in-house solutions.
+For details see the following link {{:pow:2023fproblem5.pdf|Solution}}.