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A Sequenceis {an}\left\{ a _ { n } \right\} Defined Recursively by the Equation

Question 149

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A sequenceis {an}\left\{ a _ { n } \right\} defined recursively by the equation an=0.5(an−1+an−2)a _ { n } = 0.5 \left( a _ { n - 1 } + a _ { n - 2 } \right) for n≥3n \geq 3 where a1=20,a2=20a _ { 1 } = 20 , a _ { 2 } = 20 . Use your calculator to guess the limit of the sequence.

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