1. There is an arithmetic sequence shown below. You can assume that the sequence continues indefinitely: -6, -1, 4, 9, 14, ... a) Write the next three terms in the sequence b) Write an equation that relates the position of the term to the value of the term. Identify what all the numbers and variables in your equation represent. c) Use your equation to determine the 275th term in the sequence

2. At a local pumpkin patch you can pick your own pumpkins. There is a $5 charge to enter the patch and then a $0.25 charge per pound of pumpkin a) Make a table of values that includes at least five points. Then create a graph of the scenario using your table of values. b) Write an equation that can be used to determine the total cost of picking a pumpkin of any size. Identify what all the numbers and variables in your equation represent. c) Suppose that you pick a pumpkin and when you pay for it, the total cost is $ 6.10. Use your equation to determine the weight of the pumpkin