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OCR FP1 June 2009 Question 7 Help

I'm stuck on part iii of OCR FP1 June 2009 question 7. I have absolutely no idea how to relate the previous 2 parts of the question to this one, without just taking it from the formula book and scoring no marks. Can someone please explain this question to me? Thanks.

Paper: https://3ed6c47c6c1ead854571a830aabac4d23871f1f4.googledrive.com/host/0B1ZiqBksUHNYQ0ZBTlpRSFI0eTA/June%202009%20QP%20-%20FP1%20OCR.pdf

Mark scheme: https://3ed6c47c6c1ead854571a830aabac4d23871f1f4.googledrive.com/host/0B1ZiqBksUHNYQ0ZBTlpRSFI0eTA/June%202009%20MS%20-%20FP1%20OCR.pdf
Reply 1
Avatar for Zacken
Zacken
22
Original post by SpaghettiGuy1337
I'm stuck on part iii of OCR FP1 June 2009 question 7. I have absolutely no idea how to relate the previous 2 parts of the question to this one, without just taking it from the formula book and scoring no marks. Can someone please explain this question to me? Thanks.

Paper: https://3ed6c47c6c1ead854571a830aabac4d23871f1f4.googledrive.com/host/0B1ZiqBksUHNYQ0ZBTlpRSFI0eTA/June%202009%20QP%20-%20FP1%20OCR.pdf

Mark scheme: https://3ed6c47c6c1ead854571a830aabac4d23871f1f4.googledrive.com/host/0B1ZiqBksUHNYQ0ZBTlpRSFI0eTA/June%202009%20MS%20-%20FP1%20OCR.pdf


Re-arrange the result in part(ii):

4r3=((r+1)4−r4)−6r2−4r−1\displaystyle 4r^3 = ((r+1)^4 - r^4) - 6r^2- 4r - 1 and then sum that.

You know the first sum from part(i) and the other three you can quote and then simplify them all.
Original post by Zacken
Re-arrange the result in part(ii):

4r3=((r+1)4−r4)−6r2−4r−1\displaystyle 4r^3 = ((r+1)^4 - r^4) - 6r^2- 4r - 1 and then sum that.

You know the first sum from part(i) and the other three you can quote and then simplify them all.


That was surprisingly easier than I thought! Thank you.
Reply 3
Avatar for Zacken
Zacken
22
Original post by SpaghettiGuy1337
That was surprisingly easier than I thought! Thank you.


No worries. :-)
Reply 4
Avatar for prixi
prixi
Original post by Zacken
Re-arrange the result in part(ii):

4r3=((r+1)4−r4)−6r2−4r−1\displaystyle 4r^3 = ((r+1)^4 - r^4) - 6r^2- 4r - 1 and then sum that.

You know the first sum from part(i) and the other three you can quote and then simplify them all.

I'm stuck on this question too can someone show me a walk through how to do iii)
Reply 5
Avatar for Zacken
Zacken
22
Original post by prixi
I'm stuck on this question too can someone show me a walk through how to do iii)


What are you having trouble with?
Reply 6
Avatar for prixi
prixi
Original post by Zacken
What are you having trouble with?

How do you go from
(N+1)^4-1 -n (n+1)(n+2) -2n(n+1) -n
To
N^2 (n+1)^2
And thanks

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