drouznik9410 Posted June 24, 2012 Report Share Posted June 24, 2012 mmm are you sure it's correct? I've just tried to work out the general statement of En(r ) and I got a quite complicated formula in terms of n and r. it did require some effort to get to the general statement.there are many ways to get to the GS but I myself used the graphical method (b/c I'm lazy...) but if you know how to find it using another method, go for it. I personally don't favour the graphical method (plotting a graph and finding the best fit curve) for a Math IA, though it's a use of technology The numerator part is very obvious and easy, right? So I don't need to discuss it.After you found the 6th and 7th rows, draw a new triangle if possible so you can see the patterns more easily.Remember that 1 is the 1st term in each row, and in this term r=0.When r=1 (the 2nd term from the left), get a table of the denominators and the n (n starts from 2). Then you find the GS for the denominator in terms of n.When r=2 (the 3rd term from the left), get a table of the denominators and the n (n starts from 3). Then you find the GS for the denominator in terms of n.When r=3 (the 4th term from the left), get a table of the denominators and the n (n starts from 4). Then you find the GS for the denominator in terms of n.Do the same thing for when r=4 and when r=5.You've got all the general statements in terms of n. Now your goal is to make them to be ONE general statement in terms of r and n.Hint: The general statement is in quadratic form (denominator=an²+bn+c)Tabulate r and the general statements. I am sure you will see some kind of pattern in the values of a, b and c. Find them with a similar method as before,Get a table of a and r. Then you find the GS for a in terms of r.Get a table of b and r. Then you find the GS for b in terms of r.Get a table of c and r. Then you find the GS for c in terms of r.So you've got a, b and c. Put them in the general statement involving n. You will get the GS for the denominator in terms of n and r.This task is fairly easy, though it seems complicated in the beginning. Good luck to all of you!! Hello, i got some trouble understanding what you wrote...when you say When r=1 (the 2nd term from the left), get a table of the denominators and the n (n starts from 2). Then you find the GS for the denominator in terms of n. would the table be like this:n | denominators2| 23| 44| 75| 11 Reply Link to post Share on other sites More sharing options...
natalia_jesus Posted July 14, 2012 Report Share Posted July 14, 2012 I'm not really understanding the questions on this portfolio. Can anyone explain the questions to me in other words please? Reply Link to post Share on other sites More sharing options...
Deep. Posted September 24, 2012 Report Share Posted September 24, 2012 mmm are you sure it's correct? I've just tried to work out the general statement of En(r ) and I got a quite complicated formula in terms of n and r. it did require some effort to get to the general statement.there are many ways to get to the GS but I myself used the graphical method (b/c I'm lazy...) but if you know how to find it using another method, go for it. I personally don't favour the graphical method (plotting a graph and finding the best fit curve) for a Math IA, though it's a use of technology The numerator part is very obvious and easy, right? So I don't need to discuss it.After you found the 6th and 7th rows, draw a new triangle if possible so you can see the patterns more easily.Remember that 1 is the 1st term in each row, and in this term r=0.When r=1 (the 2nd term from the left), get a table of the denominators and the n (n starts from 2). Then you find the GS for the denominator in terms of n.When r=2 (the 3rd term from the left), get a table of the denominators and the n (n starts from 3). Then you find the GS for the denominator in terms of n.When r=3 (the 4th term from the left), get a table of the denominators and the n (n starts from 4). Then you find the GS for the denominator in terms of n.Do the same thing for when r=4 and when r=5.You've got all the general statements in terms of n. Now your goal is to make them to be ONE general statement in terms of r and n.Hint: The general statement is in quadratic form (denominator=an²+bn+c)Tabulate r and the general statements. I am sure you will see some kind of pattern in the values of a, b and c. Find them with a similar method as before,Get a table of a and r. Then you find the GS for a in terms of r.Get a table of b and r. Then you find the GS for b in terms of r.Get a table of c and r. Then you find the GS for c in terms of r.So you've got a, b and c. Put them in the general statement involving n. You will get the GS for the denominator in terms of n and r.This task is fairly easy, though it seems complicated in the beginning. Good luck to all of you!! Hey, first of all thanks for helping everyone out. I found my general statement in the form of quadratic equation for my numerator and I found the pattern for the denominator, working on the general statement right now, my IA is due at the end of the day so some help would be much appreciated, I looked through all your posts but I didn't understand what you meant by "When r=1 (the 2nd term from the left), get a table of the denominators and the n (n starts from 2). Then you find the GS for the denominator in terms of n.When r=2 (the 3rd term from the left), get a table of the denominators and the n (n starts from 3). Then you find the GS for the denominator in terms of n.When r=3 (the 4th term from the left), get a table of the denominators and the n (n starts from 4). Then you find the GS for the denominator in terms of n."Assuming this is for the question En® I have already found the numbers till En(5) but I don't understand what you mean by get a table of the denominators and the n. Thanks Again. Reply Link to post Share on other sites More sharing options...
iloveibxoxo Posted October 10, 2012 Report Share Posted October 10, 2012 I am working on this for my IA, and I just spent the last 5 hrs figuring out the denominator for the GS. can anyone help? i tried reading the past posts, and i still dont understand Reply Link to post Share on other sites More sharing options...
hannahcramer23 Posted October 22, 2012 Report Share Posted October 22, 2012 Can anyone help with writing the introduction to the portfolio? Reply Link to post Share on other sites More sharing options...
Prerna Gupta Posted October 29, 2012 Report Share Posted October 29, 2012 mmm are you sure it's correct? I've just tried to work out the general statement of En(r ) and I got a quite complicated formula in terms of n and r. it did require some effort to get to the general statement.there are many ways to get to the GS but I myself used the graphical method (b/c I'm lazy...) but if you know how to find it using another method, go for it. I personally don't favour the graphical method (plotting a graph and finding the best fit curve) for a Math IA, though it's a use of technology The numerator part is very obvious and easy, right? So I don't need to discuss it.After you found the 6th and 7th rows, draw a new triangle if possible so you can see the patterns more easily.Remember that 1 is the 1st term in each row, and in this term r=0.When r=1 (the 2nd term from the left), get a table of the denominators and the n (n starts from 2). Then you find the GS for the denominator in terms of n.When r=2 (the 3rd term from the left), get a table of the denominators and the n (n starts from 3). Then you find the GS for the denominator in terms of n.When r=3 (the 4th term from the left), get a table of the denominators and the n (n starts from 4). Then you find the GS for the denominator in terms of n.Do the same thing for when r=4 and when r=5.You've got all the general statements in terms of n. Now your goal is to make them to be ONE general statement in terms of r and n.Hint: The general statement is in quadratic form (denominator=an²+bn+c)Tabulate r and the general statements. I am sure you will see some kind of pattern in the values of a, b and c. Find them with a similar method as before,Get a table of a and r. Then you find the GS for a in terms of r.Get a table of b and r. Then you find the GS for b in terms of r.Get a table of c and r. Then you find the GS for c in terms of r.So you've got a, b and c. Put them in the general statement involving n. You will get the GS for the denominator in terms of n and r.This task is fairly easy, though it seems complicated in the beginning. Good luck to all of you!! Hi... This post of yours really helped me... and i found my statements for a,b and c separately... and they work for all the numbers... however i don't know how to combine it and henceforth express it in terms of r and n... please help... i really need it.... only have few hours left until deadline... please help.... Reply Link to post Share on other sites More sharing options...
GeekChloe Posted November 12, 2012 Report Share Posted November 12, 2012 Instead of solving the denominators as diagonals, try for each row........that's how I found it Reply Link to post Share on other sites More sharing options...
Renpei Posted November 16, 2012 Report Share Posted November 16, 2012 Anyone have the answers to this that they might be able to email me?Thanks! Reply Link to post Share on other sites More sharing options...
liceouswonderland Posted November 24, 2012 Report Share Posted November 24, 2012 Can anyone help me with the limitations of this IA? All I can say is that the numerator has to be greater than the denominator! Hence n cannot equal to 0... =.= help!! Reply Link to post Share on other sites More sharing options...
Renpei Posted November 25, 2012 Report Share Posted November 25, 2012 Well, i only found 3 limitations and im not sure how good they are good luck though Reply Link to post Share on other sites More sharing options...
ling ho77 Posted November 29, 2012 Report Share Posted November 29, 2012 Haha sorry my explanation in post #16 was not clear enough. I was about to leave to school that's why I didn't have time to explain in long sentences. But I am sick, so I am now at home, not attending school lol. Anyway, look at the picture below:Look at all the terms in the blue area and green area. The differences are all 2 (never mind the 11). The differences from the terms in the green area and red area are also both 3 (never mind the 9).If you look at it from the left side, it's also the same. Look at the picture below:Same as above right? The terms differences between the 2nd and 3rd terms are all the same and the differences between the 3rd and 4th terms are both same too.I think this should answer all dany94's, Trikey's and Jyoti's questions (posts #17, #18 and #22). If you are still in doubt just ask again!What is meant by stating "plot En(1) against n"...what is 'against n' referring to?Sorry, plot the denominator of En(1) against n is the same as Plot y against x. Meaning denominator of En(1) (i.e. 2, 4, 7, 11) is on the y-axis and n (2, 3, 4, 5) is on the x-axis You did? How? I figured out the rest of En2, but what good does that do? How can putting it into a sequence help? and can you hint me on how to start En(3)?The pattern is exactly the same. I think what I explained above should help, but if you still don't get it please do ask, I don't mind re-explaining in a different way Okay so I know this is a long time after you explained it, but I am actually doing this for my IA for 2012-2013 and I just really wanted to thank you for your explanation on how to find the GS for the denominators. It was very clear and extremely helpful. You're awesome!! :D Reply Link to post Share on other sites More sharing options...
bigniggah Posted December 12, 2012 Report Share Posted December 12, 2012 Can someone just post a step by step guide of how they did this assignment? Perhaps someone has already posted it in the last 24 pages? I have limited time so I would appreciate a tutorial 'for dummies'. Reply Link to post Share on other sites More sharing options...
kieranaomi Posted December 21, 2012 Report Share Posted December 21, 2012 Hi there, sorry, hope I'm not being a pain. I've finished my lab, the only thing I am missing is a good 'scope and limitations'. I have r > 0, and n > 1.Could somebody clarify some more limitations?Thankyou! Reply Link to post Share on other sites More sharing options...
azzo21 Posted January 21, 2013 Report Share Posted January 21, 2013 Hey everyone, I've read through most of this thread and I know you're supposed to find the line of best fit, using your GDC but what does that help you figure out? Reply Link to post Share on other sites More sharing options...
CurlyCath12 Posted February 4, 2013 Report Share Posted February 4, 2013 So I am also having trouble coming up with an equation for the denominator. I plot the denominators of En(1) against n and found an equation, but when I plotted the denominators of En(2) against n, I found a different equation. Which do I use for me general statement? Reply Link to post Share on other sites More sharing options...
Aquakyogre Posted February 6, 2013 Report Share Posted February 6, 2013 A Quadratic function? I actually found the general statement for En ® using sigma and it works for some reason Reply Link to post Share on other sites More sharing options...
Mae Sansebastian Posted February 13, 2013 Report Share Posted February 13, 2013 (edited) mmm are you sure it's correct? I've just tried to work out the general statement of En(r ) and I got a quite complicated formula in terms of n and r. it did require some effort to get to the general statement.there are many ways to get to the GS but I myself used the graphical method (b/c I'm lazy...) but if you know how to find it using another method, go for it. I personally don't favour the graphical method (plotting a graph and finding the best fit curve) for a Math IA, though it's a use of technology The numerator part is very obvious and easy, right? So I don't need to discuss it.After you found the 6th and 7th rows, draw a new triangle if possible so you can see the patterns more easily.Remember that 1 is the 1st term in each row, and in this term r=0.When r=1 (the 2nd term from the left), get a table of the denominators and the n (n starts from 2). Then you find the GS for the denominator in terms of n.When r=2 (the 3rd term from the left), get a table of the denominators and the n (n starts from 3). Then you find the GS for the denominator in terms of n.When r=3 (the 4th term from the left), get a table of the denominators and the n (n starts from 4). Then you find the GS for the denominator in terms of n.Do the same thing for when r=4 and when r=5.You've got all the general statements in terms of n. Now your goal is to make them to be ONE general statement in terms of r and n.Hint: The general statement is in quadratic form (denominator=an²+bn+c)Tabulate r and the general statements. I am sure you will see some kind of pattern in the values of a, b and c. Find them with a similar method as before,Get a table of a and r. Then you find the GS for a in terms of r.Get a table of b and r. Then you find the GS for b in terms of r.Get a table of c and r. Then you find the GS for c in terms of r.So you've got a, b and c. Put them in the general statement involving n. You will get the GS for the denominator in terms of n and r.This task is fairly easy, though it seems complicated in the beginning. Good luck to all of you!! Hello, i got some trouble understanding what you wrote...when you say When r=1 (the 2nd term from the left), get a table of the denominators and the n (n starts from 2). Then you find the GS for the denominator in terms of n. would the table be like this:n | denominators2| 23| 44| 75| 11I'm confuse on how to put r=2 into a table.When r=2 (the 3rd term from the left), get a table of the denominators and the n (n starts from 3). Then you find the GS for the denominator in terms of n.When r=3 (the 4th term from the left), get a table of the denominators and the n (n starts from 4). Then you find the GS for the denominator in terms of n.That part is where I am confuse. the (n starts from 4) confuses me a lot. Edited February 13, 2013 by Mae Sansebastian Reply Link to post Share on other sites More sharing options...
chemprincess Posted March 9, 2013 Report Share Posted March 9, 2013 What are you using to create Pascal's triangle/lacsap's fractions? I want to make it on the microsoft word but I have no clue how... Reply Link to post Share on other sites More sharing options...
Paalme Posted March 28, 2013 Report Share Posted March 28, 2013 I would just like to thank everyone that has posted suggestions here. After days of not understanding and fruitless efforts, actually finding the general statement for the denominator was such a relief. Reply Link to post Share on other sites More sharing options...
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