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They are both correct. A general term is simply one that can be used to generate any term in the sequence, and both do that. 4r/3 can't be correct - it leads to non-integer powers.

Just to add to that, as long as the car is travelling in a circle, it is the coefficient of static friction that is operating. But the moment that the car begins to slide, the coefficient of kinetic friction takes over. But the coefficient of kinetic friction is lower than the coefficient of...

The factor you are overcounting by depends on the number of each type of fruit you end up with. ie. OOOAB and OOAAB will be overcounted by different amounts. As you still have to take multiple cases, it is easier to use the other method.

That is NOT correct. Schools do not send in ranks - they send in MARKS. How marks compare relative to those of your cohort is what counts. For example, consider the following two sets of marks in a particular subject, where your mark is in bold (the average is 85 in each case): (I) 90 89 88...

Because you are double counting. If the fruits are labelled O1, O2, O3, O4, B1, B2, B3, A1, A2: If you choose O1, B1, A1 as your initial 3 pieces of fruit, then choose O2, B2 for your last two pieces, that is exactly the same as choosing O1, B2, A1 as your initial 3 pieces of fruit, then...

If each type of fruit is considered to contain identical pieces of fruit, you simply list out the cases: 3 1 1 2 2 1 2 1 2 1 3 1 1 2 2 5 cases If the fruits are not considered identical, you do a calculation for each of those cases: 4 × 3 × 2 6 × 3 × 2 6 × 3 × 1 4 × 1 × 2 4 ×...

Re: HSC 2015 4U Marathon Alternatively, recognise that the sum of quadratic terms must have cubic form. So write S_n = an^3 + bn^2 + cn (the constant term must be zero so that S_0 = 0) Then sub in the expected sums for n=1,2,3 and solve simultaneously to find a,b,c.

That only proves the result for acute theta. Correction: For 1st and 4th quadrant angles only.

Miracle?? - Are you claiming that the quran is the most amazing piece of literature ever? Some people swallow their indoctrination easier than others.

As I said - the language. It is almost like trying to read Chaucer.

I'm afraid my mind doesn't work in this way. I can't get my mind around this kind of needlessly flowery language - it just doesn't make any sense.

(6:12) "It is they who have lost their own souls, that they will not believe" (10:100) "No soul can believe except by the will of Allah" Of course I had to look this up. But is this not a contradiction?

I just want to know whether the bible and the quran share the words of the old testament? I'm not interested in semantics.

Isn't that based on the old testament, even if you don't call it that?

Well, its pretty hard to keep a fabricated story consistent. But I'm sure that problem is not peculiar to the bible. You follow the old testament, right?

My book says A. Well your book is wrong, because my book says B. Your book is untruthful - only my book tells the truth. How do you know that? Because my book says it speaks the truth. My book also says it speaks the truth, and my book trumps yours because it is the only one that...

Yes ..... until the EVIDENCE showed that he was indeed right. Is there any chance of Muslims/Christians converting the other through tangible, repeatable evidence? Or is the debate going to continue being about assertions based on respective dogmas?

Observing a christian-muslim debate is like listening to two people arguing about whether grass is purple or orange.

Re: MX2 2015 Integration Marathon Famous last words before a Pom gets his girlfriend pregnant.

Re: HSC 2015 3U Marathon Can anyone come up with a combinatoric proof for this one?