Casio fx-9750G Recursion Table and Graph - Manual (Page 10)

258
1 ( a
n
)
(Draws graph with a
n
on the vertical
axis.)
Example 2 Draw a graph of a
n +1
= 2 a
n
+ 1 with
Σ
a
n
on the vertical axis and n
on the horizontal axis, and with the points unconnected.
Use the same View Window parameters as those provided in Exam-
ple 1.
6 (TABL) 6 (G•PLT)
(Selects plot type.)
6 (
Σ
a
n
)
(Draws graph with
Σ
a
n
on the vertical
axis.)
• To input a different recursion formula after a graph is drawn, press ! Q . This
displays the Recursion Menu where you can input a new formula.
k k k k k Drawing a Convergence/Divergence Graph (WEB graph)
With this feature, you can draw a graph of a
n +1
= f ( a
n
) where a
n +1
and a
n
are the terms
of linear recursion between two terms, substituted respectively for y and x in the
function y = f ( x ). The resulting graph can then be viewed to determine whether or not
the graph is convergent or divergent.
Example 1 To determine whether or not the recursion formula a
n +1
= –3 a
n
2 +
3 a
n
is convergent or divergent.
Use the following table range.
Start = 0 End = 6
a
0
= 0.01 a
n
Str = 0.01
b
0
= 0.11 b
n
Str = 0.11
Use the following View Window parameters.
Xmin = 0 Ymin = 0
Xmax = 1 Ymax = 1
Xscale = 1 Yscale = 1
16 - 3
Editing Tables and Drawing Graphs
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