Answer:
Common Difference (d) =6
5th term = 33
Step-by-step explanation:
[tex]a_n= 6n +3.... (given) \\
Plug\: n = (n +1)\\
a_{(n+1)}= 6(n+1) +3 = 6n + 6 +3 = 6n + 9\\
Common \: Difference \: (d) = a_{(n+1)} - a_n\\
= 6n + 9 - (6n+ 3)\\
= 6n + 9 - 6n - 3\\
= 9-3\\
\red{\boxed{\bold {Common \: Difference \: (d) =6}}} \\
Plug \: n = 5 \: in\: a_n= 6n +3\: we \: find:\\
a_5= 6\times 5+3= 30 + 3 = 33\\
\huge\purple {\boxed {a_5= 33}} \\[/tex]
