Answer: [tex]\bold{(D)\ a_n=7n+10}[/tex]
Step-by-step explanation:
The recursive rule for an arithmetic sequence is: [tex]a_n=a_{n-1}+d[/tex]
So, we know that d = 7. It is given that [tex]a_1=17[/tex]
The explicit rule for an arithmetic sequence is: [tex]a_n=a_1+d(n-1)[/tex]
[tex]a_n=17+7(n-1)\\\\.\quad=17+7n-7\\\\.\quad=7n+10[/tex]
