Arithmetic sequences can be written using a recursive formula or an explicit formula. The formulas share some variables, but not others.

Given the recursive formula is a_n = a_n-1 + d and the explicit formula is a_n = a_1 + (n - 1)d.
The variable are written below:
[tex]\begin{gathered} a_n\text{ the nth term of the sequence} \\ a_1\text{ the first term of the sequence} \\ d\text{ the co}mmon\text{ difference} \\ a_{n-1}\text{ the previous term of the sequence} \\ n\text{ the term number in the sequence} \end{gathered}[/tex]