Hi guys, i have a problem with this past homework question i've come accross whilst studying for my exams:

Sketch the graphs of

*f*(*x*) = (1 + *x)^(1/2) *and *g*(*x*) = *x *on the same axes. Let the sequence

a

n

be defined by *a*0 = 0 and *an*+1 = *&*1 + *an *for any *n # *0. Interpret the sequence *an*

graphically using your sketch.

Here is the solution:

Starting at

(*an, an*) *on the graph of g and moving vertically to the the graph of f we reach the point*

(

*an, an*+1)*. Moving horizontally back to the graph of g takes us to *(*an*+1*, an*+1)*. This is represented*

by the dotted zig-zag line.

I don't understand how this is the solution, am i plotting a graph of a against a n+1? any help would be much appreciated, thanks