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# AQA A2 MFP2 Further Pure 2 – 24th June [Exam Discussion Thread] watch

1. (Original post by Jm098)
yeah I'd agree! some questions are repetitive though... hoping for some nice integrals
Some are but nothing like FP3 where there was basically only 3 topics in the entire unit. Hope so too

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2. (Original post by PiTheta97)
Some are but nothing like FP3 where there was basically only 3 topics in the entire unit. Hope so too

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can't wait to see what they throw M2 for the last question
3. Anyone mind explaining some of the harder questions to me if I post the ones I'm struggling with?
4. Hey can some one help me with the proof by induction question on the 2015 paper please ?
I've attached what I've managed to do so far, but don't understand how to simplify
5. (Original post by Kedric123)
Anyone mind explaining some of the harder questions to me if I post the ones I'm struggling with?
yeah i will
6. (Original post by Roxanne18)
Hey can some one help me with the proof by induction question on the 2015 paper please ?
I've attached what I've managed to do so far, but don't understand how to simplify
16 is 2^4 so the 2^4k+7 s cancel
7. (Original post by Jm098)
16 is 2^4 so the 2^4k+7 s cancel
Oh wow can't believe I didn't see that, thank you !
8. (Original post by girlruinedme)
Someone please explain the factorials in the 2015 paper for
(r+1)! can be expressed as (r+1)r!, it can be expressed as that because for example 4! = 4*3! because 4! = 4*3*2*1 = 4*3!. (r+2)! can be expressed as (r+2)(r+1)r! just like how 4! = 4*3*2!.

Here's some working for the question.
Attached Images

9. Could someone kindly explain june 11 q4) aiv), bi) and bii) - I don't understand the method shown in the solutions

10. Where did they get the results in the mark scheme for June 14 4bii?
Attachment 555315555317
Attached Images

11. (Original post by C0balt)
Where did they get the results in the mark scheme for June 14 4bii?
Attachment 555315555317
Honestly I have no idea. I just used the method shown to the right.
12. (Original post by Buntar)
Could someone kindly explain june 11 q4) aiv), bi) and bii) - I don't understand the method shown in the solutions

satisfies the equation since it is a root. But so are and so they also satisfy the equation.
You want the sum of the cubes of the roots, so clearly you want to add the equations , , to get and the result follows.

For the next two cases you want the sum of fourth powers and fifth powers, so it makes sense to multiply the equation by and respectively and do the same thing.
13. (Original post by IrrationalRoot)
Honestly I have no idea. I just used the method shown to the right.
Do you mind explaining your method
14. (Original post by Hjyu1)
Do you mind explaining your method
There's no method to explain, the whole method is shown in two lines to the right on the mark scheme.
If there's something specific you don't understand within it, let me know and I'll explain it.
15. (Original post by C0balt)
Where did they get the results in the mark scheme for June 14 4bii?
Attachment 555315555317
(Original post by IrrationalRoot)
Honestly I have no idea. I just used the method shown to the right.
(Original post by Hjyu1)
Do you mind explaining your method
This is how I did it:

Expanding the brackets on line 4 gives us an extra which we don't want, hence the .
16. (Original post by IrrationalRoot)
satisfies the equation since it is a root. But so are and so they also satisfy the equation.
You want the sum of the cubes of the roots, so clearly you want to add the equations , , to get and the result follows.

For the next two cases you want the sum of fourth powers and fifth powers, so it makes sense to multiply the equation by and respectively and do the same thing.
Thank you!
17. (Original post by sam_97)
This is how I did it:

Expanding the brackets on line 4 gives us an extra which we don't want, hence the .
Thanks, I see it but how did you spot going from line 3 to 4 without seeing the ms
18. (Original post by C0balt)
Thanks, I see it but how did you spot going from line 3 to 4 without seeing the ms
No problem. I haven't done the paper for a while so I can't remember too clearly, I think I just presumed that the terms in line 3 might factorise somehow with all the squared terms knocking around.
19. Do we have to know to derive surface area revolution thing
20. (Original post by C0balt)
Do we have to know to derive surface area revolution thing
No

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