Hi thatsphatt,

it seems that U(1)=1 is a missing piece of information.

Then, using

and so on...

Therefore

F(k)

F(k+1)

This means the formulation being true for n=1 causes the formulation to be true for n=2,

causing true for n=3, causing....... an infinite chain of cause and effect.

Test for n=1

Therefore, the nth term, in terms of n only is