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Omni-MATH / Consider a sequence x_(n) such that x₁=x₂=1,x₃=(2)/(3). Suppose that x_(n)=(x_(n−1)²x_(n−2))/(2x_(n−2)²−x_(n−1)x_(n−3)) for all n≥4. Find the least n such that x_(n)≤(1)/(10⁶). · Discussion

Discussing Consider a sequence x_(n) such that x₁=x₂=1,x₃=(2)/(3). Suppose that x_(n)=(x_(n−1)²x_(n−2))/(2x_(n−2)²−x_(n−1)x_(n−3)) for all n≥4. Find the least n such that x_(n)≤(1)/(10⁶). · Omni-MATH

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