If you know the fifth term in an arithmetic sequence and the common difference, can you write a recursive formula for the sequence? explain why or why not. answer

If the arithmetic sequence is linear then yes, you can find the sequence with the common difference.
For example, if the common difference is add one now and you know that the fifth term is the number six, then you would know that the sequence is two, three, four, five, six.

to work out the sequence going backwards from the fifth term, you just need to subtract the amount that was previously added. For example, if the sequence adds three every time you go to the next term, then when figuring out the previous term just subtract three from the current term. So to figure out the fourth term, subtract three from the fifth term.

Distributive property