The following site may be of some interest to you: http://threesixty360.wordpress.com/2009 ... rt-1-of-3/
. It's not a reference site, but it does make some observations that are related to your project. Take a look!
This is probably the case, but just to confirm, are you trying to prove that the formula you found works? If so, that's something to work with! You should realize that, by proving it, you would
be incorporating mathematical induction into your project on Pascal's Pyramid. Perhaps you could post the formula on here and get advice, step by step. If you don't want to do that (which is also perfectly fine), please familiarize yourself with the format of mathematical induction. You've posted many requests for help concerning induction, so I would just like to make sure that you understand what exactly it entails. Remember one of my earlier posts in this thread?
Goldenzenith wrote:As for Pascal's Triangle and mathematical induction, you'll need to know Pascal's Law, which is nCr = n-1Cr + n-1Cr-1. Right now, get a piece of paper and draw at least the first 3 rows of Pascal's Triangle. How can you rewrite each number as a combination? Here's a hint: the first row has 0C0, and the second row has 1C0 and 1C1.
Once you figure out why Pascal's Law makes sense, you can get to work with mathematical induction. Remember to neatly set up each step:
1) Prove that the law works for n = 1.
2) Assume that it works for n = k, where k is greater than or equal to zero.
3) Prove that it works for n = k + 1, using and beginning the proof with the assumption from step 2.
Although the topic of the above example is not exactly what you need (Pascal's Triangle, as opposed to something related to Pascal's Pyramid), the overall setup would be the same for the proof that you want to create. If you are confused or would like more information, this site has excellent, clear explanations, as well as a few practice problems: http://www.themathpage.com/aprecalc/mat ... uction.htm
Once you've got mathematical induction down pat, "draft" a proof for your formula. Then look it over and see if you made any unwarranted assumptions that might make the proof invalid. If you need help with a certain step or get stuck somewhere, post your question, but make sure it's a specific one! It's a bit difficult to answer less specific ones like,
rappyrap09 wrote:my project is about PASCAL PYRAMID..but, according to my professor, it can be proved by using MATHEMATICAL INDUCTION.. so i thiin the're related..please help me on this project..
Please try to provide as many details as you can so that the Experts on Science Buddies can help you better! With that said, good luck with your project, and above all, have fun!