<p>We have proven that it is zero IF the question involved multiplying every term together.</p>
<p>ugotserved834 thinks that the question involved multiplying consecutive terms together, and I am willing to hear his argument if he tells us what exactly he thinks the question is. The debate is not closed if the question is still unconfirmed.</p>
<p>@LiamNeeson why not?</p>
<p>To clarify: I spent a good 2 minutes reading the fractions problem, and I know for sure that it asked you to multiply EVERY term. I know ugotserved is still going to be complaining (and he has a right to), but the answer is 0. also, the one with the slope of 4/5 the answer is (a + 5, b + 4) because its rise/run. You add 4 to b (the rise) and 5 to a (the run). QED</p>
<p>whatever, this is a circular argument. No opinions will be changed. moving on.</p>
<p>Thank you for moving on. You guys can agree to disagree. What are some of your answers for the easier ones?</p>
<p>@RollingDice
Well if I received my January SAT scores (and I was satisfied) I would probably be sleeping at 8 AM. But to each his own!</p>
<p>Yeah I just deleted my post for the slope one because I realized pretty quickly that I messed that up. I thought I got it wrong, then I thought maybe I actually did get it right, then I realized it was still wrong. -2 so far I think (stupidly forgot to multiply the triangle ramp area by 2)</p>
<p>If it makes the people who answered 1 feel any better, I originally had 1 but changed it when I realized what it was actually asking.</p>
<p>^shut your mouth</p>
<p>do some of you think that you got all questions right? I am just drawing a general consensus to see how the curve will look like (unless the curve is defined before the test, I am not sure about that)</p>
<p>@Grinver
I think I got 2 wrong but some people definitely got 60/60. The curve is based off of results so it is not yet defined.</p>
<p>Honestly, for the multiplying fractions problem I thought the problem was asking for the product of the nth term sequence. Previous to the nth term general sequence, it was like (2/3)(3/4),…, [(n-1)/n]x[n/(n+1)]. I very well may be wrong, as many have argued, but if there were commas and the problem was just posting a sequence and possible, values, the answer would approach 1 because [(n-1)/n]x[n/(n+1)] does approach 1 (using le hospitals or whatever method). If it asked for the product of all terms, then it would not be 1. However, it would seem strange to put in a problem that revolves around calculus (series) and then further add the multiply all products twist. I’m hoping for the answer to be 1.</p>
<p>Maybe the question said: as the value of n increases, the value of [(n-1)/n]x[n/(n+1)] gets closer to…?</p>
<p>Anyone here absolutely positive there was multiplication involved?</p>
<p>@Liam Neeson, I also got at least 2 wrong, so that’s why I’m worrying :S I was expecting to get a 36 this time. </p>
<p>To all of you who think that 1 is the answer:
As far as I’m concerned the fractions were multiplying (2/3)<em>(3/4)</em>…<em>(n-1/n)</em>(n/n+1)
Looking at this, all of the numerators and denominators cancel out leaving only 2/(n+1).
While Calculus might help (using simple limits as n→∞), this can be answered by noticing that as “n” gets larger and larger (as the problem asked) the denominator “n+1” surpasses “2” by far, which ultimately lead us closer to “0” </p>
<p>If the problem was worded in such way, then this is the answer: 0. If this was not a series and there were no commas between the shown fractions, then I am unaware of the real answer (since I though it was a series multiplication). Nevertheless, I am positively sure that the nature of the problem is as I describe it. Correct me if I am wrong, but this makes perfect sense to me.</p>
<p>For the fractions problem
It’s asking what would the product of ALL the terms be</p>
<p>n-1 / n is less than 0
n / n+1 is less than 0
thus every term is less than 0</p>
<p>any number x multiplied by a number less than 0 results in a product smaller than x, or in other words approaching zero</p>
<p>thus the whole product approaches 0</p>
<p>reading through the thread, it actually seems like everyone understands the concept</p>
<p>the main dispute is between whether ACT wanted the product of the last term or the products of all terms</p>
<p>in that case, there’s nothing to be proved. though im pretty sure it wanted the entire product</p>
<p>the notation was</p>
<p>2/3 * 3/4 * . . . * [(n-1)/n] * [n/(n+1)]
suggesting a product of all terms</p>
<p>and guys be nice having an a+ in bc doesn’t make you any bit better than anyone else. and i know a friend who’s a junior in high school who’s in multivariable so SYKE what now</p>
<p>Alright, I’m a new user and read through the whole thread.</p>
<p>I am 100% certain that the ACT asked you to formulate</p>
<p>(2/3) * (3/4) * (4/5) * … * [(n-1)/n] * [n/(n+1)]</p>
<p>Therefore, it asked you to solve the WHOLE equation, not just two terms. Initially, I had 1 to answer, but, I read again and realized it asked for the whole thing. Easy how the ACT can fool you with just simplicity of wording. Answer should be 0, for certain. Really, Calculus is not needed. Hell, even Pre-Calc isn’t needed. All you had to do was punch in the numbers into your calculator and watch it decrease. </p>
<p>Anyways, onto my concern, hopefully to get a new topic starting. </p>
<p>There was a three-part question where it involved a ramp. I’m currently very unclear of the question right now because I just took a nap and forgot about the whole godforsaken test. Basically, it was the third question of the three-part question. I believed it involved lodging in a ramp and asking for its area or something, Idk. No clue. Could someone clear this up for me? 'Cause I couldn’t seem to understand it from its terrible wording. In the end, I put (C)/(H) for it because I followed some superstition: “If you don’t know the answer, choose (C)”. I would be happily obliged if you guys talked about this.</p>
<p>I’ve taken the ACT three times, and got a 36 in math every time. This is my fourth. The answer to the fractions was definitely 0 because the question didn’t ask you “what is [(n-1)/n] * [n/(n+1)] as n increases?”</p>
<p>it asked you “what is 1/2 * 2/3 * 3/4 * . . . * [(n-1)/n] * [n/(n+1)] as n increases”?</p>
<p>that TOTALLY changes the meaning of the question.</p>
<p>And, to clarify the ramp question, all you had to do was find the area of the triangle and double it. The plywood is used to support both sides, and it asked you to find the surface area. So, since the ramp has two triangular sides, that was what you were supposed to do.</p>
<p>The answer was 11. (which was C)</p>
<p>**** ****in’ yes! I love guessing the right answer! Thank god for “choosing c” superstition!!!</p>