MathGraph32 allows the user to create and graph recurrent sequences kind of $u_{n+1}=f(u_n)$.

Create a new figure with menu item *File - New Figure with - Frame with vectors*. Choose an orthonormal frame and name vectors *u* and *v*.

Via icon create a free point and get it named M with tool .

Use menu *Calculus - Measure>> Point affix* or click on icon to measure the affix of point M just click on M).

With menu item *Calculus - New complex calculus >> Complex function* (keyborad shortcut **Ctrl + Maj + E**) create a complexe function of a variable named *f* with formula *f*(*t*)=*t*+1/*t*^2.

Let’s now create a recurrent complex sequence. The starting term will be the affix previously measured.

For this, use menu item *Calculs - New complex calculus - Complex u(n+1)=f[u(n)] sequence* .

A dialog box pops up.

Enter *u* in the field **Name**.

Function *f* is already selected.

Use button **Values** to choose Aff(M,O,I,J) which represents the affix of point M in the text field **First term**.

In the field **Number of terms** enter 100.

Validate by **OK**.

Let’s now create the graph oh this sequence.

Activate on the right side of the window the blue color and the dotted line style.

Then use menu item *Create - u(n+1)=f[u(n)] sequence graph - Complex*.

A dialog box is opening.

Sequence *u* is already selected. Validate.

The figure is now ready.

On the figure underneath animated via MathGraph32 Javacript library you can capture and move point M.