Answer:
[tex]a_{n}=7n-10[/tex]
Step-by-step explanation:
Givens
[tex]a_{1}=-3\\a_{n}=a_{n-1} +7[/tex]
The formula to find the iterative rule of an arithmetic sequence is
[tex]a_{n}=a_{1}+(n-1)d[/tex]
Where [tex]d=7[/tex] and [tex]a_{1}=-3[/tex], replacing these values, we have
[tex]a_{n}=-3+(n-1)7\\ a_{n}=7n-7-3\\ a_{n}=7n-10[/tex]
Therefore, the right answer is the first choice: [tex]a_{n}=7n-10[/tex]
