Convergent
Example:
To enter the two-term recursion formula equation u
graph, and determine if the graph is convergent or divergent
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+1
• [First Term] > [ u
]
0
• [Set Table Domain] > [Start] : 0 ; [End] : 6
• [Set Web Graph Start] > [ u
* Make the x -coordinate of the starting point for drawing the web graph the same value as u
3. On the Sequence tab, input u
4. Press > to go to the Table tab.
5. Select T > [Web Graph].
6. On the View Window menu that appears, input the values shown below.
x Minimum = -0.52, x Maximum = 1.52, x Scale = 1
y Minimum = 0, y Maximum = 1, y Scale = 1
and then press O.
7. Highlight
• This graphs u
= -3u
n + 1
a slope of 45 degrees.
8. Press O.
• This causes a cross pointer (
9. Press O 20 times.
• Each press of O draws the straight lines of the web graph.
The graph indicates that the numeric series is convergent.
• To exit web graph drawing, press b.
Note
• A web graph can be drawn when u
• You can specify the line type and line color of the y= f (x) graph drawn above. For details, see
Drawing Settings (Line Type, Line Color)" (page
*
Start] : 0.01
n
2
= -3u
+ 3u
, u
n + 1
n
n
2
+ 3u
and draws a straight line with
n
n
) to flash at the starting point of the web graph.
is selected as the formula type.
n+1
2
= -3u
+ 3u
n + 1
n
= 0.01.
0
78).
113
Divergent
(first term u
= 0.01), draw a web
n
0
.
0
"Graph
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