Question

The 3rd term of an arithmetic sequence

Answer 1

Step-by-step explanation:

Arithmetic sequence have a common difference so we need to find the common difference.

Formula for a arithmetic sequence is

$y = a + (n - 1)d$

The 8th term is -32 and the third

term is -2

We need to find average rate of change so we just do

$\frac{ - 32 - ( - 2)}{5} = \frac{ - 30}{5} = - 6$

So the average rate of change is -6 so we have

$a +( - 6 )(n - 1) =$

We need to find the initial value, let just subtract -6 from -2 twice.

$- 2 - ( - 6) - ( - 6) = 10$

So our inital value is 10

$10 + ( - 6)(n - 1)$