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Omni-MATH / The sequence a₁,a₂,a₃,… of real numbers satisfies the recurrence a_(n+1)=(a_(n)²−a_(n−1)+2a_(n))/(a_(n−1)+1). Given that a₁=1 and a₉=7, find a₅. · Discussion

Discussing The sequence a₁,a₂,a₃,… of real numbers satisfies the recurrence a_(n+1)=(a_(n)²−a_(n−1)+2a_(n))/(a_(n−1)+1). Given that a₁=1 and a₉=7, find a₅. · Omni-MATH

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