Fibonacci Sequence - Creating and Using - GeoGebra Glossary

Definition: The Fibonacci sequence is defined as follows: x_1=1 , x_2=1 , x_3=x_1+x_2 , ..., x_n=x_{n-2}+x_{n-1} , ... .

Create Sequence: In GeoGebra, open the Spreadsheet with View -> Spreadsheet

Click in cell A1 and type 1 and hit Enter. (Cursor will move to cell A2.)
Type 1 and hit Enter. (Cursor will move to cell A3.)
Type =A1+A2 (case sensitive) and hit Enter. (Cursor will move to cell A4.)
Click on cell A3. A blue rectangle will frame A3 with a tiny blue box in bottom right corner. Click and drag this box down to (say) A20.

Interactivity 1: Getting at the elements of the Fibonacci Sequence Directions for interactivity

1. If you want to see/hide the spreadsheet variables in the algebra view, you need to use: View -> Auxilliary.

2. Make a list from spreadsheet variables. Click in the input field (bottom left) and type A1:A20 and hit Enter.

3. With a list you can do lots of things like:

a. Make a slider n with min=1, max=20 and increment=1.

b. Insert text: "x_" + n + " = " + Element[list1, n] (Select LaTeX formula to get the subscript.)

c. Slide the slider and the subscript and values in the text will change.

Idea by Dani Novak