Answer:
[tex]\large\boxed{a_n=7n-20}[/tex]
Step-by-step explanation:
It's an arithmetic sequence.
[tex]-6-(-13)=-6+13=7\\1-(-6)=1+6=7\\8-1=7[/tex]
The difference is constant.
The explicit formula of an arihmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
Substitute:
[tex]a_1=-13,\ d=7[/tex]
[tex]a_n=-13+(n-1)(7)[/tex] use distributive property
[tex]a_n=-13+7n-7\\\\a_n=7n+(-13-7)\\\\a_n=7n-20[/tex]
