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 a0 = 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