Respuesta :

Notice that:

[tex]\begin{gathered} 9-5=4, \\ 13-9=4. \end{gathered}[/tex]

Since the sequence is arithmetic then, the nth term has the following form:

[tex]a_n=5+4\cdot(n-1)\text{.}[/tex]

Therefore:

[tex]a_{52}=5+4(51)=5+204=209.[/tex]

Answer: 209.