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Re: HSC 2015 4U Marathon - Advanced Level Prove that (n+1)^(n+1) + (-n)^n is not divisble by 9 for any natural number n.

Re: HSC 2015 4U Marathon - Advanced Level Can you post a problem which you found to be quite tough from when you were year 12?

Re: HSC 2015 4U Marathon will be waiting

Re: HSC 2015 4U Marathon can you solve the questions in the current advanced thread?

Re: MX2 2015 Integration Marathon I doubt there's a solution for Ekman's question, although I might be wrong cause I didn't spend enough time on it

Re: HSC 2015 4U Marathon Also Glitter, were there any maths questions which you struggled with/not able to do during your HSC year? If so, can u provide an example? Just curious

Re: HSC 2015 4U Marathon Lol glitter is back. Glitter y u no state rank.....

Re: HSC 2015 4U Marathon In triangle ABC, D is a point on BC. the incircles of triangle ADB and ADC are both tangent to AD at the same point. Show that the incircle of ABC touches BC at D

Re: HSC 2015 4U Marathon - Advanced Level Which is my point that he cant use the limiting sum formula...

Re: HSC 2015 4U Marathon - Advanced Level is cisx between plus minus 1? If u used limiting sum

Re: HSC 2015 4U Marathon - Advanced Level Just to clarify in case you don't understand, ur previous line said 'Let a=A^2 CD, b=AB^2 D, c=ABC^2, d= BCD^2 A^2 CD+AB^2 D+ABC^2+BCD^2 ≥4∜(A^4 B^4 C^4 D^4 ) ≥ 4ABCD' But in the line which follows, u swapped the inequality sign, which u cannot do...

Re: HSC 2015 4U Marathon - Advanced Level Not that hard? Oh please, your solution has logical flaws. Let's look at one. Look at the bolded bit. You can't just switch the inequality sign like that, division by a factor whcih is less than 1 does not mean that. Think again, when u give up I'll...

What did Fus roh dah get for this paper?

Re: HSC 2015 4U Marathon - Advanced Level yes indeed i forgot to mention that A,B,C,D >0. The method I used was AM -Gm, although the problem is still very difficult...

Re: HSC 2015 4U Marathon - Advanced Level Since no one has psoted a new question, here's one: given A+B+C+D = 4, prove that 4/(ABCD) >= A/B +B/C + C/D + D/A

I saw it in booklet form.

Yeah the bill pender book is ACTUALLY the best. But ive only seen it through a friend. Im not sure whether its available online though.

Does anyone know whether glitter state ranked?

Re: HSC 2015 4U Marathon - Advanced Level Rhs is (x-a2)(x-a3).....(x-an)+(x-a1)(x-a3)(x-a4)....(x-an).+...+ (x-a1)(x-a2).... (xn-1) And its easy to see that this is p'(x) through extended product rule

Re: HSC 2014 4U Marathon - Advanced Level perhaps Glitter/ Sy/Frank can tackle the Question (the one I posted)