Learning Resources

Investigation 3: Bee Biology

1. Press STAT and then ENTER to select the EDIT feature. This will enable you to enter your data into 2 lists; one for the x-coordinate of the ordered pair, n, and the other for the y-coordinate, .

2. Enter the values of n in list L₁ and the values of t_n in list L₂. 

3. To graph L₂ versus L₁, press STATPLOT, then  ENTER  to access Plot 1.

4. Set Plot 1 on and select the type of graph to be scatter plot (the first option). 

5. Set Xlist as L₁Ylist as L₂. This ensures that the x-coordinates to be plotted are the numbers in L₁ and the y-coordinates are from L₂. 

6. Next, you must select appropriate WINDOW settings such as Xmin = 0, Xmax =10, 
Ymin = 0 and Ymax = 60 going by a scale of 5. These restrictions will allow you to graph the first 10 numbers of the sequence. IE {1, 1, 2, 3, 5, 8, 13, 21, 34, 55}

7. Finally, press GRAPH. 

Alternatively, the graph of the sequence can be created by using the sequence graphing function on the TI-83. Refer back to Focus A of Section 1, Lesson 1 if you can't recall how to use this feature. 

In this case, you will need to define the function u(n) = u(n - 1) + u(n - 2). Set u(nMin) = {1,1}. The set bracket notation is necessary here and it must contain the first 2 terms of the sequence since they are essential to the recursive definition. To obtain the letter u when inputting the recursive formula, press 2nd u, which is above the 7 key.