Given:
[tex]\begin{gathered} d=4 \\ a_8=36 \end{gathered}[/tex]To find:
The nth term rule.
Explanation:
Using the nth term formula,
[tex]a_n=a+(n-1)d[/tex]Substituting the given values we get,
[tex]\begin{gathered} a_8=a+(8-1)(4) \\ 36=a+28 \\ a=8 \end{gathered}[/tex]So, the nth term formula becomes,
[tex]\begin{gathered} a_n=a+(n-1)d \\ =8+(n-1)(4) \\ =8+4n-4 \\ a_n=4+4n \end{gathered}[/tex]Final answer:
The nth term formula is,
[tex]a_n=4+4n[/tex]