KRECUR

(V-WIN)?UEU@UA

@DUEDUDU)

(TYPE)(an+1)A(an)@U

(SET)(a1)@UEU@U)

(SEL+S)D())

(TABL)

(G CON)

• After drawing a graph, you can use Trace, Zoom, and Sketch.

Press

to return to the number table screen. After drawing a graph, you can toggle

between the number table screen and graph screen by pressing

(GϕT).

IGraphing a Phase Plot from Two Numeric Sequences

You can draw the phase plot for numeric sequences generated by two expressions input in the RECUR mode with one value on the horizontal axis and the other value on the vertical axis. For an (an+1, an+2), bn (bn+1, bn+2), cn (cn+1, cn+2), the numeric sequence of the alphabetically first expression is on the horizontal axis while the following numeric sequence is on the vertical axis.

1.From the Main Menu, enter the RECUR mode.

2.Configure V-Window settings.

3.Enter two recursion formulas and select both of them for table generation.

4.Configure table generation settings.

Specify the start and end values for variable n and the initial term for each recursion formula.

5.Display the recursion formula number table.

6.Draw the phase plot.

Example

To input the two sequence formulas for regression between two terms

 

an+1 = 0.9an and bn+1 = bn + 0.1n − 0.2, and specify initial terms a1 = 1 and

 

b1 = 1 for each. Generate a number table as the value of the n variable

 

goes from 1 to 10 and use it to draw a phase plot.

 

Use the following V-Window settings.

 

Xmin = 0,

Xmax = 2,

Xscale = 1

 

Ymin = 0,Ymax = 4,

Yscale = 1

KRECUR

(V-WIN)?UAU@UA

?UCU@U)

(TYPE)(an+1)?H(an)U

(n.an ··)(bn)?@(n) ?AU

(SET)(a1)@U@?U@U@U)

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