Is a decimal with a predictable pattern a rational number? I'm starting as a private Math tutor for a high school kid; in one of his Math Laboratories (that came with an answer sheet) I was stumped by an answer I encountered in the True or False section (I'm certain it should've been a False):

The number 4.212112111211112... is a rational number.

I've been searching through several threads and search results, but I haven't found anything that confirms or denies this.
My reasoning to answer 'False' is that, since the pattern is non-terminating and will never repeat, then it must be an Irrational number; granted, there is a predictable pattern ... but it is not repeating.
Am I wrong? I just want to make sure I give this kid the correct answer.

The number 4.212112111211112... is not a rational number ,  since the pattern is non-terminating and will never repeat . 
You can not write this as a ratio of rational number . 
