5,9,13,17
Explanation
Step 1
Let
[tex]\begin{gathered} f(1)=5 \\ f(n)=f(n-1)+4 \end{gathered}[/tex]Step 2
replace,
when n= 2
[tex]\begin{gathered} f(2))=f(2-1)+4=f(1)+4 \\ f(1)+4=5+4=9\text{ then} \\ f(2)=9 \end{gathered}[/tex]when n=3
[tex]\begin{gathered} f(3)=f(3-1)+4=f(2)+4= \\ f(2)+4=9+4=13,\text{then} \\ f(3)=13 \end{gathered}[/tex]when n= 4
[tex]\begin{gathered} f(4)=f(4-1)+4=f(3)+4 \\ f(3)+4=13+4=17 \\ f(4)=17 \end{gathered}[/tex]I hope this helps you