Function Evaluation and Solving

12

6

14

-1

1

7

-7

0

-3

3

-1

-22

-2

-19

-5

2

$$\frac{8}{3}$$

3

8

1

10

12

11

2

3

6

12

Draw blank spaces for terms 1-9 and work backwards using the common difference to fill in the blanks.

Establish the common difference as +17 or -17, narrow down your answer choices, type those remaining functions into Desmos (using x instead of a_n-1) and convert to a table to find the matching term positions and values.

Start sequences with both -238 and -221, applying the common difference until you get to the 10th, 11th and 12th terms.

dependent variable

input

output

range

Plot the ordered pairs and connect the dots

Enter the table of data and generate the line of best fit, matching the equation of that line to the equation choices

Substitute the x value in each row into each equation and evaluate the function to see if you get the corresponding y value shown in the table

Input each answer choice as an equation, convert each to a table and select the function whose table matches the table in the problem