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(1+\sqrt{2})^{k+1} = P_{k+1} + Q_{k+1}\sqrt{2} \\ LHS=(1+\sqrt{2})^{k}(1+\sqrt{2}) \\ LHS=(P_{k} + Q_{k}\sqrt{2})(1+\sqrt{2}) \\ LHS=(P_{k} + 2Q_{k})+(P_{k} + Q_{k})\sqrt{2} \\ Therefore, \\ P_{k+1} = (P_{k} + 2Q_{k}) \\ Q_{k+1} = (P_{k} + Q_{k})

Plenty. If you can refer to them all pretty thoroughly you're doing well. Wouldn't use them all in the exam mind you. You're better off choosing the few that apply to the question best, or the ones you are most confident with. But yes, that's plenty. It's good to have a thorough...

Please, dear lord, read my post.

See, here's the problem. Faith is faith (belief without need for proof). Your choice to have faith is your own. What bothers me about religion is that it gets special status. Why should I have to respect someone's religious choices any more than I might respect their choice of deodorant or taste...

Start reading my stockpile of 'Post-HSC' books. I haven't found the time to touch one of them as of yet. Sleep. Work. Go out. Move out.

Looks like you've done all the hard work already. Half the terminal velocity: v^2 = g/4k Substitute v^2 into x as a function of v: x = (-1/2k)log((g-g/4)/g) x = (1/2k)log(4/3) I think that's it. Hopefully someone who knows LaTeX can make it clearer.

Deleted my Facebook a couple of months ago. Best decision I've ever made.

Thanks folks

Hi, I got my last trial mark today, and I'm interested in what ATAR I'd be looking at if I could replicate the same marks in the actual HSC exams, given a ranking of first in every subject with an average assessment mark of around 95 for most of them. Trial Marks: English Advanced: 98/105...

Which Uni has the better Arts program? History, Philosophy, Literature, Linguistics wise.

It's on the thread I think. Doubt it's independent though. Pretty sure it's internally written.

There is a trend in Hist Ext to focus on the 'popular' or 'main' historians in Section One. However, there are a number of lesser known historians whose methodologies and approach mirror, yet predate the historical discourse of Von Ranke etc, such as Arabic historian and philosopher Ibn Khaldun...

Not sure what paper my school does, might've made it themselves. Section 1 wasn't too hard at all. Poem and prose extracts were full of techniques. Section 2 was really specific. Lot of people would've found it hard if they relied on a prewritten story. One of the ones I wrote before hand...

Soviet Union: Assess the view that Stalinism can be considered totalitarianism, something along those lines. Not hard at all Arab Israeli Conflict: Account for the continuing conflict between 1948 and 1967. Not hard either And then I did Trotsky for the personality study, pretty much the common...

Had mine today, punished everything but the second part of the personality study, I think. Anyone else do theirs yet? How'd you go?

Are you in year 12? What topic are you up to?

Haha, my English teacher actually recommended, indirectly (I guess), that we should take a shot of vodka before an exam. He used to be a pretty good competition shooter or something, and one of his team members was a doctor who came to the conclusion that one shot of vodka was enough to settle...

In Bruges, Snatch, V for Vendetta, Pulp Fiction

Actually, google tells me it's ranked 392.

I work hard and the assessments are of HSC quality, but I don't think the school is ranked. It's small and rural. What effect will this have, given I replicate the above marks in the external exams?