Tortorella's Rant Posted February 26, 2015 Share Posted February 26, 2015 Just looking for help, not "omg you can't do grade 9 math.." Link to comment Share on other sites More sharing options...
Mathew Barzal Posted February 26, 2015 Share Posted February 26, 2015 Just looking for help, not "omg you can't do grade 9 math.." I think he's implying the opposite, that the level of math is above him. In any case... 1. What's happening is you're trying to find the function for the case of (n+1), since you used your base case of (1) and found that to be true. 2. Assumption is your formula is true! therefore 3. Since i = 1 (you're starting number), up to you're final number [ i =n ] and [ i = n+1] which is larger than that.\ 4. You're left with the formula i = 1^2 + 2^2 + 3^2 + 4^2 .... etc + n^2 + (n+1)^2 BUT, we already know what the bolded portion of the formula is, ASSUMING what we're given is true. This is because we are starting at one and ending with n. Substitute that long chain of garbage with the original formula and you get line beside (by our induction hypothesis) 5. Everything from there on out is simple factory and simplification. Feel free to ask if you're still confused! Link to comment Share on other sites More sharing options...
Tortorella's Rant Posted February 26, 2015 Share Posted February 26, 2015 I think he's implying the opposite, that the level of math is above him. In any case... 1. What's happening is you're trying to find the function for the case of (n+1), since you used your base case of (1) and found that to be true. 2. Assumption is your formula is true! therefore 3. Since i = 1 (you're starting number), up to you're final number [ i =n ] and [ i = n+1] which is larger than that.\ 4. You're left with the formula i = 1^2 + 2^2 + 3^2 + 4^2 .... etc + n^2 + (n+1)^2 BUT, we already know what the bolded portion of the formula is, ASSUMING what we're given is true. This is because we are starting at one and ending with n. Substitute that long chain of garbage with the original formula and you get line beside (by our induction hypothesis) 5. Everything from there on out is simple factory and simplification. Feel free to ask if you're still confused! The line after (by our induction hypothesis) Why does (n+1)^2 move to the left side, and where does ^2 go? Every other example does this. I guess it doesn't matter so much why it happens, as long as you know that it's supposed to? And what is going on in the square brackets there on the same line? He doesn't explain any of this. It's assumed knowledge at this point. Knowledge I don't have.. Watching a video on it right now.. it makes a little more sense but, yeah.. Link to comment Share on other sites More sharing options...
Mathew Barzal Posted February 26, 2015 Share Posted February 26, 2015 The line after (by our induction hypothesis) Why does (n+1)^2 move to the left side, and where does ^2 go? Every other example does this. I guess it doesn't matter so much why it happens, as long as you know that it's supposed to? And what is going on in the square brackets there on the same line? He doesn't explain any of this. It's assumed knowledge at this point. Knowledge I don't have.. See how initially it was = (n+1) ^2 + equation? HINT: (n+1)^2 can also be written as (n+1)(n+1) the line after factored out an (n+1) from BOTH equations, you can see it disappear from the numerator of the original equation too! the next line is essentially [ (equation w/ (n+1) factored out) + (A w/ (n+1) factored out) ] x (n+1) ABOVE is original factored ABOVE was factored out And since 2x3 = 3x2 what happened in the next line is they just decided to put the (n+1) in front. ------------------------------------------------------------------------------------------------------------------------------------- The square brackets aren't special, it just keeps things from getting confusing, because having a whole row of (((((((((((( )))))))))))))))))) would get pretty confusing. Basically it's just for easy perception of the question. Judging from what you're struggling with, I think you just need to brush up on the different forms of fractions and polynomials. Link to comment Share on other sites More sharing options...
William_Clarkson Posted February 26, 2015 Share Posted February 26, 2015 Just looking for help, not "omg you can't do grade 9 math.." Dude, he's 12, he's not even in grade 9 yet. He would just be being introduced to basic algebra. Link to comment Share on other sites More sharing options...
CanucksFan2323 Posted February 26, 2015 Share Posted February 26, 2015 Dude, he's 12, he's not even in grade 9 yet. He would just be being introduced to basic algebra. yea I'm in grade 8, but I skipped grade 3 so I should be In grade 7 right now Link to comment Share on other sites More sharing options...
Tortorella's Rant Posted February 26, 2015 Share Posted February 26, 2015 See how initially it was = (n+1) ^2 + equation? HINT: (n+1)^2 can also be written as (n+1)(n+1) the line after factored out an (n+1) from BOTH equations, you can see it disappear from the numerator of the original equation too! the next line is essentially [ (equation w/ (n+1) factored out) + (A w/ (n+1) factored out) ] x (n+1) ABOVE is original factored ABOVE was factored out And since 2x3 = 3x2 what happened in the next line is they just decided to put the (n+1) in front. ------------------------------------------------------------------------------------------------------------------------------------- The square brackets aren't special, it just keeps things from getting confusing, because having a whole row of (((((((((((( )))))))))))))))))) would get pretty confusing. Basically it's just for easy perception of the question. Judging from what you're struggling with, I think you just need to brush up on the different forms of fractions and polynomials. I don't get it at all but thanks anyway. I will have to do the basis, conclusion, and a few parts of induction but skip the actual process of solving it because it looks all arbitrary to me. That should be enough to pass the quiz today Link to comment Share on other sites More sharing options...
steph33 Posted November 18, 2016 Share Posted November 18, 2016 hey..can anyone help me figure out this problem - http://imgur.com/eYcpHTU - thought of using help from https://www.enotes.com/homework-help/topic/geometry or http://yourhomeworkhelp.org/chemistry-homework-help/ but I'd rather try solving it on my own..so what I tried is calculating sphere's radius as of a radius of the circle inside an equilateral triangle; then as a radius of the circle in isosceles triangle; then created a right triangle with the cone's sides and sphere's radius and tried using cos, sin, tan formulas to figure out the answer but after spending a couple of hours on it I've got no where near the answer..I''l appreciate any hint (I'm not asking for the solution - just some hints)..thanks Link to comment Share on other sites More sharing options...
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