What is the explicit formula for this arithmetic sequence?-11,-18,-25, -32,...

ANSWER:
D.
[tex]a_{n}=-11+(n-1)(-7)[/tex]EXPLANATION:
Given:
-11,-18,-25, -32,...
From the above sequence, we can see that;
a1 = first term = -11
d = common difference = -18 - (-11) = -7
n = term position
We can go ahead and substitute the above values in the below arithmetic sequence formula;
[tex]\begin{gathered} a_n=a_1+(n-1)d \\ a_n=-11+(n-1)(-7) \end{gathered}[/tex]