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I actually don't attend HSC, i googled math help forums, and found this to be of some resource. If this is forum is intended for only HSC then I apologize and thank the previous posters for help. The only question I'm stuck on now is proving the induction question. Thank you.

Basiclly i'm trying to prove by induction that 2^n > (n^2) + 1

How did you get this "Prove that 2n-n2-1 >0 n>4" When the question was to prove 2^n > (n^2) + 1

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Introduction to Advanced Mathematics (i.e. Abstract Mathematics)

Below are the Axioms of the Numbered and Ordered Fields As for the last question, basically you have to attempt to rewrite the implication A => B using the operators ("and" and/or "or") i.e. A and B => A or B such that the rewrite is logically equivalent to the standard implication A=>B...

Hello, I have a couple of questions that I keep hitting a wall on. 1. Mathematical Induction Prove that for n>4, 2^n > (n^2)+1 (I get stuck here on the algebra of the inequauility) 2. Prove Carefully using the axioms of ordered field that: 1+x^2 < (1+x)^2 <=> x>0 3. Is it possible to...