2.(2023•温州模拟)已知数列{an}\{a_{n}\}{an}各项为正数,{bn}\{b_{n}\}{bn}满足an2=bnbn+1{a}_{n}^{2}=b_{n}b_{n+1}an2=bnbn+1,an+an+1=2bn+1a_{n}+a_{n+1}=2b_{n+1}an+an+1=2bn+1,则((( )))