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Omni-MATH / Let a₀=−2,b₀=1, and for n≥0, let beginaligned & a_n+1=a_n+b_n+sqrta_n^2+b_n^2 & b_n+1=a_n+b_n-sqrta_n^2+b_n^2 endaligned Find a₂₀₁₂. · Discussion

Discussing Let a₀=−2,b₀=1, and for n≥0, let begin{aligned} & a_{n+1}=a_{n}+b_{n}+sqrt{a_{n}^{2}+b_{n}^{2}} & b_{n+1}=a_{n}+b_{n}-sqrt{a_{n}^{2}+b_{n}^{2}} end{aligned} Find a₂₀₁₂. · Omni-MATH

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