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Omni-MATH / A sequence a₁,a₂,a₃,… of positive reals satisfies a_(n+1)=√((1+a_(n))/(2)). Determine all a₁ such that a_(i)=(√(6)+√(2))/(4) for some positive integer i. · Discussion

Discussing A sequence a₁,a₂,a₃,… of positive reals satisfies a_(n+1)=√((1+a_(n))/(2)). Determine all a₁ such that a_(i)=(√(6)+√(2))/(4) for some positive integer i. · Omni-MATH

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