Find the 5and term of the arithmetic sequence 5, 9, 13,
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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.