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#358d3a84-93e1-4b81-8842-f4c235e16dd1中等填空题数列求通项方法数列

12.(2023•湖北二模)已知定义在RR上的函数f(x)f(x)是奇函数,且满足f(3x)=f(x)f(3-x)=f(x)f(1)=3f(-1)=3,数列{an}\{a_{n}\}满足a1=1a_{1}=1an=n(an+1an)(nN){a}_{n}=n({a}_{n+1}-{a}_{n})(n\in {N}^{*}),则f(a36)+f(a37)=(f(a_{36})+f(a_{37})=(  ))