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Which recursive sequence would produce the sequence $3,13,63, \ldots$ ?$\newline$$a_{1}=3$ and $a_{n}=5 a_{n-1}-2$$\newline$$a_{1}=3$ and $a_{n}=-5 a_{n-1}+6$$\newline$$a_{1}=3$ and $a_{n}=-2 a_{n-1}+5$$\newline$$a_{1}=3$ and $a_{n}=6 a_{n-1}-5$