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Edexcel FP1 Thread - 20th May, 2016

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Original post by iMacJack
split it up into the sum of r = 1 to 12 of (9r^2-4r) + k lots of the sum of r = 1 to 12 of 2^r

put r = 1 in to get your a, your n = 12, use the sum of a geometric series formula, youll get a value, add the bits together, equate it to the value given, rearrange for k


Sorry mate but i dont follow this bit
Original post by connorbarr
bruh it says that in the textbook


I dont have the text book
Original post by OhsoIntrovert
Can someone please explain the answers to part (b) and (ii) of question 6 on the 2015 IAL paper
https://699d3c34b250207412778630ab10c15e39222eaf.googledrive.com/host/0B1ZiqBksUHNYd0pJSmxJSHozWVk/January%202015%20(IAL)%20MA%20-%20F1%20Edexcel.pdf

My answer to (b) was 150 clockwise? and in (ii) I don't understand how using
b^2 -4ac shows that det(M) is not equal to zero

Thank you!


Look in the formula booklet, you'll find a formula involving angles. Which angle would give you this result if you plug it in the formula?
Original post by yesyesyesno
Guys, can you do the f(k)=......=5m for an e.g divisible by 5 questions and then rearrange for one term and sub into f(k+1) for *every* divisibility induction question? I think it's my preferred method now. A reply would be much appreciated. :smile:


Yes you can. The method has been used on mark schemes (look a few posts above for an example). My teacher also taught us this method before the f(k+1)-f(k)

:biggrin: good luck to you tomorrow
Original post by OhsoIntrovert
Can someone please explain the answers to part (b) and (ii) of question 6 on the 2015 IAL paper
https://699d3c34b250207412778630ab10c15e39222eaf.googledrive.com/host/0B1ZiqBksUHNYd0pJSmxJSHozWVk/January%202015%20(IAL)%20MA%20-%20F1%20Edexcel.pdf

My answer to (b) was 150 clockwise? and in (ii) I don't understand how using
b^2 -4ac shows that det(M) is not equal to zero

Thank you!


for the discriminant bit, u get a quadratic when working out the determinant, and then if u out that equal to zero, u only get complex numbers for the roots, but it says that k is a real number so there are no roots where k is a real number meaning no values of k to get a det(M) = 0
Guys, can you do the f(k)=......=5m for an e.g divisible by 5 questions and then rearrange for one term and sub into f(k+1) for *every* divisibility induction question? I think it's my preferred method now. A reply would be much appreciated.
Original post by oShahpo
Look in the formula booklet, you'll find a formula involving angles. Which angle would give you this result if you plug it in the formula?


You're quite right. Although I just realised the angle will be a multiple of 45 in FP1 so that question is not part of our spec but good to know

Thanks for your help :smile:
Original post by connorbarr
for the discriminant bit, u get a quadratic when working out the determinant, and then if u out that equal to zero, u only get complex numbers for the roots, but it says that k is a real number so there are no roots where k is a real number meaning no values of k to get a det(M) = 0


and for that rotation thing, I swear we only have to do multiples of 45 degrees
Original post by OhsoIntrovert
Yes you can. The method has been used on mark schemes (look a few posts above for an example). My teacher also taught us this method before the f(k+1)-f(k)

:biggrin: good luck to you tomorrow


Thank you! Goodluck to you too if you're sitting it
Original post by connorbarr
for the discriminant bit, u get a quadratic when working out the determinant, and then if u out that equal to zero, u only get complex numbers for the roots, but it says that k is a real number so there are no roots where k is a real number meaning no values of k to get a det(M) = 0


Thanks! This makes sense now and was well explained :smile:
Original post by kingaaran
Sorry took awhile. Two methods. I'd prefer the second, but most would go for the first

ImageUploadedByStudent Room1463683957.837743.jpgImageUploadedByStudent Room1463683974.020674.jpg


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Thank you SO MUCH!!!
Original post by yesyesyesno
Guys, can you do the f(k)=......=5m for an e.g divisible by 5 questions and then rearrange for one term and sub into f(k+1) for *every* divisibility induction question? I think it's my preferred method now. A reply would be much appreciated. :smile:


Hey mate
Could you do me a favour and explain how your method would work for this?

https://gyazo.com/ef16da65fc0475a8ce387015bbd6bb08

Thanks!!!
Original post by iMacJack
Split it up into the sum of r = 1 to 12 of (9r^2-4r) + k lots of the sum of r = 1 to 12 of 2^r

put r = 1 in to get your a, your n = 12, use the sum of a geometric series formula, youll get a value, add the bits together, equate it to the value given, rearrange for k


was k = 2/15?
Original post by tazza ma razza
was k = 2/15?


Yes
Original post by alfmeister
No I haven't as Im on my phone now so don't have the link

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This is the link for it please http://crashmaths.com/wp-content/uploads/2015/12/Coordinate-Systems-Worksheet.pdf question 14b, thanks so much :smile:
Original post by OhsoIntrovert
You're quite right. Although I just realised the angle will be a multiple of 45 in FP1 so that question is not part of our spec but good to know

Thanks for your help :smile:


Glad to have helped :biggrin:
Well just did June 2014 and got 72/75 (lost 3 marks because I got my negative signs mixed up :colondollar:) so that has boosted my confidence :biggrin:
Original post by economicss
This is the link for it please http://crashmaths.com/wp-content/uploads/2015/12/Coordinate-Systems-Worksheet.pdf question 14b, thanks so much :smile:


What have you done so far? Do you have equations of the tangents to both points P and Q. You then need to equate the equations of the tangents.

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Original post by yesyesyesno
Guys, can you do the f(k)=......=5m for an e.g divisible by 5 questions and then rearrange for one term and sub into f(k+1) for *every* divisibility induction question? I think it's my preferred method now. A reply would be much appreciated. :smile:


Please reply to my last post.. :smile:
Original post by alfmeister
What have you done so far? Do you have equations of the tangents to both points P and Q. You then need to equate the equations of the tangents.

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Hey with divisibility proofs, what is the let f(k) = bla bla method?

Cheers! (n how would I do it for the one I posted a few posts above)

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