Answer:
The nth term is [tex]a_n=4n-21[/tex]
Step-by-step explanation:
The given arithmetic sequence is -17, -13, -9, -5, ...
The first term of this sequence is [tex]a_1=-17[/tex].
The common difference can be found using any two consecutive terms.
The common difference is [tex]d=-5--9=4[/tex]
The nth term of arithmetic sequence is given by the formula:
[tex]a_n=a_1+d(n-1)[/tex]
We plug in the values to obtain:
[tex]a_n=-17+4(n-1)[/tex]
Expand
[tex]a_n=-17+4n-4[/tex]
Simplify:
[tex]a_n=4n-21[/tex]
