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# Edexcel FP1 Thread - 20th May, 2016 watch

1. Could anyone explain question 5b from the exam style paper in the textbook please https://8fd9eafbb84fdb32c73d8e44d980...ZweHc/REV1.pdf I can't see the link between finding the grad of PQ in part a and then PR in part b? Thanks
2. (Original post by economicss)
Could anyone explain question 5b from the exam style paper in the textbook please https://8fd9eafbb84fdb32c73d8e44d980...ZweHc/REV1.pdf I can't see the link between finding the grad of PQ in part a and then PR in part b? Thanks
you're given that PR is perpendicular to QR, so find the gradients using (y2-y1/x2-x1)
The products of these gradients should be -1. then rearrange to get in the form 1/pq=9 as 1/pq is the gradient at any point on the curve.
3. (Original post by NotNotBatman)
you're given that PR is perpendicular to QR, so find the gradients using (y2-y1/x2-x1)
The products of these gradients should be -1. then rearrange to get in the form 1/pq=9 as 1/pq is the gradient at any point on the curve.
Thanks, on solutions bank it goes straight to the gradients for PR and QR and says that it's deduced from part a but I can't see the link between them? https://644625398389466aee0063322305...ce%20paper.pdf I tried to work it out by finding the gradients of PR and QR but I couldn't find a way to simplify my algebra down? :/
Thanks
4. (Original post by economicss)
Thanks, on solutions bank it goes straight to the gradients for PR and QR and says that it's deduced from part a but I can't see the link between them? https://644625398389466aee0063322305...ce%20paper.pdf I tried to work it out by finding the gradients of PR and QR but I couldn't find a way to simplify my algebra down? :/
Thanks
If the gradient of a general chord PQ is (the p being from the P and the q from the Q) then if you replace Q with R where R is the point that is exactly the same as Q except for the fact that we have (i.e: substitute into Q to get the point R) then the gradient of the chord PR is the gradient of PQ with so .

Same for QR, except this time it's Q staying constant and R is just the point P with instead.
5. (Original post by Zacken)
If the gradient of a general chord PQ is (the p being from the P and the q from the Q) then if you replace Q with R where R is the point that is exactly the same as Q except for the fact that we have (i.e: substitute into Q to get the point R) then the gradient of the chord PR is the gradient of PQ with so .

Same for QR, except this time it's Q staying constant and R is just the point P with instead.
Thank you
6. Hi, is anyone able to explain please the divisibility induction method used in questions 54 and 55 of rev ex 2 of the textbook https://644625398389466aee0063322305...NRNU0/REV2.pdf How do you know when to bring in this 'm' and is there an easy way to go about using it?
Thanks
7. How's everyone finding this module?

I recently finished the book and been hitting past papers since.

In my opinion the easiest to hardest topics have got to be:

Series
Numerical Solutions
Matrix Transformations
Complex Numbers
Induction
Coordinate Systems

Series is the easiest, as you can literally check whenever you've gotten a question wrong! Coordinate Systems will be hard until you can be bothered to draw a huge diagram
8. (Original post by LelouchViRuge)
...
How is induction hard?
9. (Original post by Zacken)
How is induction hard?
It isn't, I just feel the ones above are easier
10. (Original post by Zacken)
..
How about you? What did you find most difficult??
11. (Original post by LelouchViRuge)
How about you? What did you find most difficult??
I'd have to go with co-ordinate systems as well, I guess.
12. (Original post by Zacken)
I'd have to go with co-ordinate systems as well, I guess.
13. (Original post by aymanzayedmannan)
Shut up.
14. That question in the 2016 IAL F1 paper on coordinate systems, WOW!

Did anyone who sat the 2016 Jan series get that right? (of the people on TSR who sat it) Zacken aymanzayedmannan
15. (Original post by iMacJack)
That question in the 2016 IAL F1 paper on coordinate systems, WOW!

Did anyone who sat the 2016 Jan series get that right? (of the people on TSR who sat it) Zacken aymanzayedmannan
Damn, I wish! I ****ed up that show that question.
16. (Original post by economicss)
Hi, is anyone able to explain please the divisibility induction method used in questions 54 and 55 of rev ex 2 of the textbook https://644625398389466aee0063322305...NRNU0/REV2.pdf How do you know when to bring in this 'm' and is there an easy way to go about using it?
Thanks
17. (Original post by economicss)
It's not a required method and you could use the but here, all you need to know is that saying that is divisible by means you can write for some integer . You tend to use it in induction proofs when is a sum of exponential and linear terms instead of just an exponential or just a linear term.
18. (Original post by Zacken)
It's not a required method and you could use the but here, all you need to know is that saying that is divisible by means you can write for some integer . You tend to use it in induction proofs when is a sum of exponential and linear terms instead of just an exponential or just a linear term.
Thank you!
19. On question 26 https://644625398389466aee0063322305...NRNU0/REV2.pdf , am I right in thinking n is 13 because r=0 and if like normal the series started from r=1 then there would be 12 terms instead? Thanks
20. (Original post by economicss)
On question 26 https://644625398389466aee0063322305...NRNU0/REV2.pdf , am I right in thinking n is 13 because r=0 and if like normal the series started from r=1 then there would be 12 terms instead? Thanks
There is no normal series, if you did change it to 13 you'd be adding at the end, which would be incorrect.

To calculate the amount of numbers in any summation, do whatever the n value is subtract the starting value plus 1

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