Respuesta :
Answer:
A.
[tex]a_n=9+(n-1)\cdot 5[/tex].
Step-by-step explanation:
The common difference is 5. The y values are going up by 5. So this is an arithmetic sequence since we have a common difference.
The explicit form for arithmetic sequence is:
[tex]a_n=a_1+(n-1) \cdot d[/tex] where d represents the commom difference and [tex]a_1[/tex] is the first term.
Here the first term is [tex]a_1=9[/tex] and we already determined the value for d which is 5.
Inputing these values for first term and common difference give:
[tex]a_n=9+(n-1)\cdot 5[/tex].