**Guide :High School **

# A recursive rule for an arithmetic sequence is a1=4;an=an−1+3. What is an explicit rule for this sequence?

A recursive rule for an arithmetic sequence is a1=4;an=an−1+3. What is an explicit rule for this sequence?**I have some notes for you about the explicit rule of an arithmetic sequence, this might just help you answer the problem on your own!An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. It may be written in either subscript notation an, or in functional notation, f (n). To summarize the process of writing an explicit formula for an arithmetic sequence:1. Determine if the sequence is arithmetic (Do you add, or subtract, the same amount from one term to the next?)2. Find the common difference. (The number you add or subtract.)3. Create an explicit formula using the pattern of the first term added to the product of the common difference and one less than the term number.I hope my answer has come to your help. God bless and have a nice day ahead!**...