Study of a numerical sequence defined in C
 
 

Study of a numerical sequence defined in C

Author : Philippe Fortin

Public : Students

 Used material : TI-92
 
(Application being able to be carried out on the TI-89, 92 and 92 Plus)
Extract of a review diffused by a professor of mathematics.

 

To study the sequence defined by
Solution :
 
Enter the real part of and the imaginary part (xo ;yo), then define the function F :z»f(z) as shows it below the screen.
 
 
 
Define then two continuations U1 and U2 as indicated in the following screen.
(Recall : this screen is obtained by [ Diamant]+[W ] in sequence mode)

 

 
 
Place the TI-92 in the CUSTOM Mode (by the key F7), by redefining the values displayed in X-coordinates and ordinates.
 

 
 
Mode CUSTOM makes it possible to define its own co-ordinates.
Here, the sequence U1 (left real F) is in X-coordinate, and the sequence U2 (left imaginary) in ordinates.
 
 
 
Choose now option LINE in small F6 (style) of the equation editor.
 
 
 

After supports on [ Diamant]+[R ] one obtains the graph of our sequence, each point being connected to the following.
 
xmin=-1, xmax=1, ymin=-1, ymax=1.
 
Nmin =0 bus the statement gives Z0