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For (n+2)^2+ n^2 divisible by 2, I would not use "induction" at all. Instead, by basic algebra, (n+ 2)^2+ n^2= n^2+ 2n+ 4+ n^2= 2n^2+...

I have this GP problem and I have the answer but I don’t understand. Would anyone can help to explain ?

Prove : \frac{1}{b(a+b)}+\frac{1}{c(b+c)}+\frac{1}{a(c+a)}\geq\frac{27}{2(a+b+c)^2} Where a,b,c are positive Nos

order of sizes: a < b < c

Ok that projective number line stuff is fascinating! And yes, we all have days like that and i hope everyone can see i wasn't trying to...

Actually, I should (and do) apologize. I had a bad day, and the response from Cambridge was irrelevant to your question. So my annoyance...

I misread your question before. No, the final result will not add any new restriction

Number theory is a field where proofs by induction are very common because proofs by induction cover an infinite number of cases. For...

Apologies, I didn't mean to offend! I sent him the original question, he never responded until last night and in the meantime i posted...

Could you post a graphic?

Two lines are parallel only if their slopes are both equal or both are undefined. Two lines are perpendicular only if the product of...

SaLoose has posted only part of the exercise (part b). We may be missing given information regarding 'lowest degree' and 'leading...

Find the equation whose roots are 1, -2 and 1/2. I don't think so. Who makes up these problems?