This is why math people like to define what they are talking about :)
What you've given is basically a special-case proof of the infinite geometric series formula: a_0/1-r. Here, a_0 = 1, and r = 2 so we get -1. Of course, as you noticed, it can't apply here.
Consider the case A = 1+1+1+1...
To understand most of undergraduate math you just need to know a few basic principles very well. Math is not really about memorizing formulas, although those can be handy.
Algebra is all about abstraction. People find some structure they are interested in studying. This structure comes with its...
@Robert1986
Hi Robert, thanks for the response. Whether my school is "challenging" is subjective and depends on the courses, but it is a highly ranked private university (for what that's worth). There is grade inflation but not so much in the math and science courses.
The reason why I can't...
I'll try to give you guys the short of it.
I am usually quite critical of myself and focus on the negatives, but right now I think I need to list some positive things, to be more optimistic. Forgive me if I sound "immodest" since I have absolutely no intention or reason to "brag."
I like...