# Limit of Sequence

Level pending

If $$n$$ is a positive integer and the sequence $$\{a_n\}$$ is defined as follows, what is $$\displaystyle \lim_{n \to \infty} a_n$$: $a_1=1 \;\; \textrm{and} \;\; a_{n+1} = \frac{1}{2}a_n + 3 ?$

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