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Geometric Sequenceshard
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A sequence is defined by a1=1,an+1=12an+1a_1=1, a_{n+1} = \frac{1}{2}a_n + 1a1​=1,an+1​=21​an​+1. What is the limit LLL of ana_nan​ as n→∞n \to \inftyn→∞?