Question

What is the average rate of change for the sequence shown below? (I added a picture)

Answer 1

Answer:

Option C is correct

$-\frac{1}{2}$

Step-by-step explanation:

Formula for slope is given by:

$\text{Slope} = \frac{y_2-y_1}{x_2-x_1}$

As per the statement:

Given the sequence as shown

(5, 1), (3, 2), (3, 1), (-1, 4) ,....

We have to find average rate of change or slope for the sequence.

Consider any two points from the sequence,

(5, 1), (3, 2)

here, $x_1 = 5$, $y_1 = 1$, $x_2 = 3$ and $y_2= 2$

Apply the formula for slope we have;

$\text{Slope} = \frac{2-1}{3-5} = -\frac{1}{2}$

Therefore, the  average rate of change for the sequence is, $-\frac{1}{2}$

Answer 2

The average rate of change for the problem would be -1/2