12.设数列{an}\{a_{n}\}{an}中,a1=2a_{1}=2a1=2,an+1an−1=1(n⩾2{a}_{n}+\frac{1}{{a}_{n-1}}=1(n\geqslant 2an+an−11=1(n⩾2且n∈N∗)n\in N^{*})n∈N∗),则a2023=(a_{2023}=(a2023=( )))