$$a_{n}=2n+1$$
$n=\frac{a_{n}-1}{2}$
$$2n+1=a_{n}$$
$$2n=a_{n}-1$$
$$\frac{2n}{2}=\frac{a_{n}-1}{2}$$
$$n=\frac{a_{n}-1}{2}$$
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$a_{n}=2n+1$
