Calculate the average rate of change for the graphed sequence from n = 1 to n = 5.
{(1, 2), (2,5). (3,8). (4, 11). (5, 14), (6, 17)}

Respuesta :

Answer:

The average rate of change is 3

Step-by-step explanation:

To find the average rate of change you need to find the slope of the starting point and the end point.

For n = 1 to n = 5, the end point is (5, 14) and the starting point is (1, 2).

The slope formula is:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Just find the slope of the starting point and the end point to find the average rate of change.

[tex]slope = \frac{14-2}{5-1} = \frac{12}{4} = 3[/tex]

The average rate of change is 3