Casio FX-9860GII-L-IH User Guide - Page 245
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5-9-8 Graphing a Recursion Formula Example To draw the WEB graph for the recursion formula an+1 = -3(an)2 + 3an, bn+1 = 3bn + 0.2, and check for divergence or convergence. Use the following table range and V-Window Settings. Table Range Start = 0, End = 6, a0 = 0.01, anStr = 0.01, b0 = 0.11, bnStr = 0.11 V-Window Settings Xmin = 0, Xmax = 1, Xscale = 1 Ymin = 0, Ymax = 1, Yscale = 1 Procedure 1 m RECUR 2 !3(V-WIN) awbwbwc awbwbwJ 3 3(TYPE)2(an+1)-d2(an)x+d2(an)w d3(bn)+a.cw 4 5(SET)1(a0) awgwa.abwa.bbwc a.abwa.bbwJ 5 6(TABL) 6 4(WEB) 7 w~w(an is convergence) cw~w(bn is divergence) Result Screen 20050401
20050401
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
!3
(V-WIN)
a
w
b
w
b
w
c
a
w
b
w
b
wJ
3
3
(TYPE)
2
(
a
n
+
1
)
-
d
2
(
a
n
)
x
+d
2
(
a
n
)
w
d
3
(
b
n
)
+a.c
w
4
5
(SET)
1
(
a
0
)
a
w
g
w
a.ab
w
a.bb
w
c
a.ab
w
a.bb
wJ
5
6
(TABL)
6
4
(WEB)
7
w
~
w
(
a
n
is convergence)
c
w
~
w
(
b
n
is divergence)
Result Screen
5-9-8
Graphing a Recursion Formula