Question

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

Answer 1

D.

`a_(n)=-11+(n-1)(-7)`

Step-by-step 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;

`\begin{gathered} a_n=a_1+(n-1)d \\ a_n=-11+(n-1)(-7) \end{gathered}`