It is a fact that every integer n ≥ 1 can be written in theformwhere cr = 1 or 2 and ci =...

It is a fact that every integer n ≥ 1 can be written in the

form

where cr = 1 or 2 and ci = 0, 1, or 2 for all integers i = 0, 1, 2, ..., r –1. Sketch a proof of this fact.