Answer:

Answers may vary.

Grant and Denise have equations that correctly describe the sequence given.  Both describe the way the numbers are changing in the pattern.   

Grant’s equation is an explicit form.  This equation is multiplying by 7 because in the explicit form you may go right to the nth term that you are seeking, so you must be able to calculate the number of jumps that you have taken which is how many times you have “added” 7 as multiplication can be considered as a repeated addition.

Denise’s equation is a recursive form.  In this equation, the rate of change is an added value because that is what is happening for each 1 unit increase in the input value the output will have an additional 7.  The start value is the same as the y value in the y-intercept (-4).