Answer:
A.
Step-by-step explanation:
The given expression is
[tex]a_{n}=5+(n-1)2[/tex]
To right well a recursive formula for arithmetic sequences, we first need to write down the first term of the sequence. So, the recursive formula must have [tex]a_{1}=5[/tex] in first place. That gives A and B as possible answers.
Then, we have to write the pattern rule to get all terms that goes after the first one. So, if you look closely, choice A is the one that is using a pattern to built the arithmetic sequence. On the other hand, choice B doesn't make sense due to its factor 5, that will not give the same arithmetic sequence.
Therefore, the right answer is A.
