How to plot f[n_] := n f[n - 1] a recursion equation?

Questions
,
1

How do you plot a recursion equation such as

f[n_] := n f[n - 1]

Thanks,
Jake

2

As any data- or discrete- function.

Clear@f
f[1] = Pi;
f[n_] := f[n] = n f[n - 1]

ListLinePlot[Table[f[n], {n, 1, 5}], PlotTheme -> "Business"]

afaredafvavc.png
afaredafvavc.png360×227 5.41 KB

DiscretePlot[f[n], {n, 5}, PlotTheme -> "Business"]

sdf5tgdsvc.png
sdf5tgdsvc.png370×233 2 KB

3

Thank you. If you don’t mind how would I plot two different functions to see if there intersection?
Thanks again
Jake

4

Again, same as with other functions. My recommendation is reading docs - there are many good examples there.

Clear[f, g];
f[1] = Pi;
f[n_] := f[n] = n f[n - 1];
g[1] = 2;
g[n_] := g[n] = n^3 + g[n - 1]

ListLinePlot[{
  Table[f[n], {n, 1, 5}],
  Table[g[n], {n, 1, 5}]
  }, PlotTheme -> "Business"]

dsf54w5yhrtbgfa.png
dsf54w5yhrtbgfa.png360×227 7.56 KB

5

Thank you very much for your help
Jake