<em>100% CORRECT ANSWERS </em>
Question 1
Consider the sequence:
8, 11, 14, 17, 20, 23, 26, ...
Write a recursive definition.
Question 2
Which sequences could be described by the recursive definition
2, 5, 14, 41, 122...
Question 3
Given that the first term is and the recursive definition is would be the 2nd term
In cases like these, you simply have to multiply the choices you have for each step.
In fact, you can choose between 4 different crusts. For each of these crusts you can choose 4 different sauces. This means that there are choices at this point. In fact, if we call the crust options 1,2,3,4 and the sauce options A,B,C,D, the 16 possible combinations are
From here, you keep going multiplying the number of options for each step, for a total of