Question

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Answer 1

I think there's a related question that answers this (as I have latexed it a while back) Let me find the link.

Answer 2

Mathematical induction always holds true. That question is also used for substitution towards the end so the k+1 case can be proved.

http://openstudy.com/study#/updates/5590defee4b0058b2bb7472e

Answer 3

you're welcome. I'm assuming that textbooks are publishing the same questions as I have done this question almost two weeks ago, so it was best if I found the link rather than latexing everything again :)