Casio ALGEBRA FX 2.0, User Manual

Page: 219 / 426

19990401
Example To draw the WEB graph for the recursion formula
a
n +
1
= –3(
a
n
)
2
+ 3
a
n
,
b
n +
1
= 3
b
n
+ 0.2, and check for divergence or convergence. Use the
following table range and V-Window Settings.
Table Range
Start = 0, End = 6,
a
0
= 0.01,
a
n
Str = 0.01,
b
0
= 0.11,
b
n
Str = 0.11
V-Window Settings
Xmin = 0, Xmax = 1, Xscale = 1
Ymin = 0, Ymax = 1, Yscale = 1
Procedure
1 m
RECUR
2 ! K
(V-Window)
a w b w b w c
a w b w b w i
3 3
(TYPE)
c
(
a
n
+
1
=)
- d 2
(
a
n
)
x +d 2
(
a
n
)
w
d 3
(
b
n
)
+a.c w
4 5
(RANG)
1
(
a
0
)
a
w
g
w
a.ab
w
a.bb
w
c
a.ab
w
a.bb
w
i
5 6
(TABL)
6 4
(WEB)
7 1
(TRACE)
w
~
w
(
a
n
is convergence)
c w
~
w
(
b
n
is divergence)
Result Screen
5-9-8
Graphing a Recursion Formula