Question

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)}

Answer 1

The average rate of change is 3

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:

`slope = (y_(2)-y_(1))/(x_(2)-x_(1))`

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

`slope = (14-2)/(5-1) = (12)/(4) = 3`

The average rate of change is 3