Answer:
[tex]\bold{a_n=7n+27}[/tex]
Step-by-step explanation:
[tex]a_1=34\\a_2=41\\a_3=48\\a_4=55\\\\41-34=7\ \ and\ \ 48-41=7\ \ and \ \ 55-48=7[/tex]
So this is the arithmetic sequence with difference d=7
[tex]a_n=a_1+d(n-1)\\\\a_n=34+7(n-1)\\\\a_n=34+7n-7\\\\\underline{a_n=7n+27}[/tex]