Act math section february 2012

<p>yeah the sequence was like -(3/4) multiplied by the previous term</p>

<p>not correct. cause their were dots in the middle signifying that there were more fractions being multiplied and also since all the fractions were less than one, it gets closer and closer to 0</p>

<p>thanks Coconutso</p>

<p>also, 4/27 is the right answer</p>

<p>66 will not get you a 7?</p>

<p>For the fractions problem, it was written like this:
(2/3)<em>(3/4) … ([n-1]/n)</em>(n/[n+1])
It asked what the product was as n approached infinity. Am I correct on this part?</p>

<p>If that is the wording of the question, it approaches 0. You can do the math yourself to see that.</p>

<p>It approchaes 0. However, i still dont see why its not 1/4 for the dice. Dont you multiply 1/2 by itself?</p>

<p>Easier way for those who don’t understand the dice problem.</p>

<p>Your first roll doesn’t matter (you could get EITHER a 1 or 6 in order to have them add to seven).</p>

<p>Your second roll, however, has a 50% chance that if added to your first roll will equal seven.</p>

<p>1 * 1/2 = 1/2</p>

<p>it said if n was greater than or equal to 3</p>

<p>@bornagain no. </p>

<p>FOR THE DICE PROBLEM there are 4 possible outcomes:

  1. 6 and 1
  2. 1 and 6
  3. 1 and 1
  4. 6 and 6</p>

<h1>1 and #2 there both equal 7 dots; #3 and #4 do not. That means 2/4 simplified to 1/2 is the answer.</h1>

<p>[Updated] For the fractions problem, it was written like this:
(2/3)<em>(3/4) … ([n-1]/n)</em>(n/[n+1])
It asked what the product was as n approached infinity if n is greater than or equal to 3. Am I correct on this part?</p>

<p>If that is the wording of the question, it approaches 0. You can do the math yourself to see that.</p>

<p>dam im an idiot</p>

<p>If you graph the equation with the n in a graphing calc, it crosses the y-axis and is going towards 1, the horizontal asymtote.</p>

<p>@dfire, you can’t graph it… what did you type in your calculator to do so?</p>

<p>it approaches 0… end of story. its fractions less than one all multiplied by each other</p>

<p>crap, yeah that true</p>

<p>dfire, you cant graph it, *** were u doin lol</p>

<p>(100000/999999)(100000/100001)=1 its 1</p>

<p>To the people who said 1 on the fraction problem, could it be possible that you were only looking at the last term (n/n+1)?</p>

<p>As n approached infinity, that <em>does</em> approach 1, but that is not what the question is asking.</p>

<p>Update:
@dman, where are you getting those numbers? you are excluding the “2/3 * 3/4 …” part</p>

<p>how the hell are you getting that bmanbro. pretend n equaled 3. it would be (2/3)(3/4)(2/3)(3/4). last time i checked, thats not 1</p>