(Proof by Induction Problem - Solution included but I still am confused)
Question (with solution): http://f.imgtmp.com/OPRWj.jpg
What confuses me is that there are three letters b, k and n. Normally, these problems only have an n and a k. The n being the variable and the k being a constant plugged into n and then I attempt to show that it works for k+1 but here the b throws me off completely. If I pretend k is a variable and then make b the constant number, then that makes more sense but why is the definition of T(n) being used? If you aren't sure what I'm asking, tell me and I'll elabor

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