Casio CLASSWIZ CG Software User's Manual page 108

Recursion App
You can use the Recursion app to work with general terms or two-term or three-term recursion formulas of
numeric sequences. It creates a numeric table from a recursion formula and draws a graph. You can also draw
a Phase Graph based on two recursion formulas of the same type, or a Web Graph to check the convergence
or divergence of two-term recursion formulas.
Operation Flow
Example: To create a numeric table for the three-term recursion formula (Fibonacci sequence) u
where the first term is u
from 1 to 6, and then draw a graph of the numeric table
1. h > Recursion
2. Specify the formula type, first term type and the numeric table domain.
(1) On the Sequence tab, press u to highlight the first line.
(2) Press O, and then use the Setup menu that appears to configure the settings shown below.
• [Type] > [u ]
n+2
• [First Term] > [ u
• [Set Table Domain] > [Start]： 1 ; [End]： 6
3. On the Sequence tab, input u
4. To display the numeric table, press >.
• The numeric table is displayed on the Table tab.
5. To draw a graph, select T > [Graph Points].
(1) Use the View Window menu that appears to select [Pre-set
Windows] > [Standard].
(2) Next, highlight
• This causes the graph of the numeric table to appear on
the Table tab.
6. To return to the numeric table display, press b.
• Pressing < returns to the Sequence tab.
Using the Sequence Tab
On the Sequence tab, select one of the formula types shown below and input the formula.
For this formula type:
u
n
u
n+1
= 1 and the second term is u
1
]
1
= u + u , u
n + 2 n + 1 n
d (Highlights line 2 (u
C > [Recursion] > [u
C > [Recursion] > [ u
and then press O.
Enter this formula:
General term (Up to three of u
Two-term recursion formula (Up to three of u
= 1, and the value of the n -variable changes
2
= 1, u = 1.
1 2
).)
n+2
]+
n+1
]E
n
1E
1E
, v , w )
n n n
108
= u
n + 2
, v , w )
n + 1 n + 1 n + 1
+ u
n + 1
n