Answer:
[tex]a_n = 9 - 2(n-1)[/tex]
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and is called common difference.
The nth term is given by the following equation:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
First term is 9 common difference is -2
This means that [tex]a_1 = 9, d = -2[/tex]
So, the nth term is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]a_n = 9 + (n-1)(-2)[/tex]
[tex]a_n = 9 - 2(n-1)[/tex]
