P_o =1 ,P_1 =1+X and for all n≥1 P_(n+1) =P_n +XP_(n−1) Explicit P


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Question Number 125736 by snipers237 last updated on 13/Dec/20

$P_{o} = 1, P_{1} = 1 + X a n d f o r a l l n ⩾ 1$ $P_{n + 1} = P_{n} + {X P}_{n - 1}$ $E x p l i c i t P_{n} a n d p r o v e t h a t i t s r o o t s a r e a l l r e a l .$
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