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225
Editing Tables and Drawing Graphs 16 - 3
Example 2 Draw a graph of an+1 = 2an + 1 with Σan 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
Example 1.
6(TABL)6(G·PLT)
(Selects plot type.)
6(Σan)
(Draws graph with Σ
an 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.
kk
kk
k Drawing a Convergence/Divergence Graph (WEB graph)
With this feature, you can draw a graph of an+1 = f
(an) where an+1 and an 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 an+1 = –3an
2
+ 3an is convergent or divergent.
Use the following table range.
Start = 0 End = 6
a0 = 0.01 an Str = 0.01
b0 = 0.11 bn Str = 0.11
Use the following View Window parameters.
Xmin = 0 Ymin = 0
Xmax = 1 Ymax = 1
Xscale = 1 Yscale = 1
This example assumes that the following two recursion formulas are already
stored in memory.
1. Press 6(TABL) 4(WEB) to draw the graph.
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