1. Math is my Valentine.
2. So basically the difference between the Strong Principle of Mathematical Induction and regular Mathematical Induction is that for the Strong Principle, you are verifying that the statement is true for every single value from one to k, rather than just for k. The definition make it almost sound like an induction within an induction. (Twilight Zone music)
3. Ok. It took me a minute to figure out that recursive relationships were referring to the individual parts of a sequence, not to the sum. Once I figured that out, things dramatically improved as far as my understanding of the proof. I think I'm going to feel better about these proofs after seeing a couple done in class. I think my confusion is just coming in why we need to (or want to...?) prove k-1.
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