I want to pursue a career in computer programming. Where do I start?
You are already making iOS Apps, so you most likely already know at least 1 programming language. You don't need a degree in computer science to be a programmer. You (usually) need a degree in computer science to be a computer scientist.

You should continue programming, as it's the only way you'll get better. If you want to put it on your resume you need to be extremely fluent in at least 1 language and show that you're fluent (you're off to a great start with those iOS apps).

Employers don't look for a CS degree, although it is nice. Most jobs require a bachelors degree, but not in computer science per se.

Putting personal projects on your resume along with an explanation of your ability to write code should be good enough. And trust me, they will be testing your abilities as a programmer from the second you get a callback.

During the first interview, you will most likely be asked to write code on paper with a developer at the company. If you pass that, they might ask you to complete a lengthy exercise to demonstrate your proficiency.

So in my opinion: Keep doing what you're doing. If you want to land a job as a programmer master at least 1 language.