Graph of a recurrent sequence : plotseq seqplot graphe_suite

Let f (x) be an expression depending of the variable x (resp. f (t) an expression depending of the variable t).
plotseq(f (x),a,n) (resp. plotseq(f (t),t=a,n)) draws the line y = x, the graph of y = f (x) (resp y = f (t)) and the n first terms of the recurrent sequence defined by : u₀ = a,  u_n = f (u_n-1). The a value may be replaced by a list of 3 elements, [a, x_-, x₊] where x_-..x₊ will be passed as x range for the graph computation.
Input :

plotseq(sqrt(1+x),x=[3,0,5],5)

Output :

the graph of y=sqrt(1+x), of y=x and of the 5 first terms of the sequence u_0=3 and u_n=sqrt(1+u_(n-1))