You are Here: Home >< Maths

# Year 13 Maths Help Thread Watch

1. (Original post by Blake Jones)
Does anyone have any links to any good A-level maths resources for the quotient rule etc?
This website has some nice resources
http://www.mathcentre.ac.uk/students/topics/
2. (Original post by Sal.Tek_ 〔サルテック〕)
This website has some nice resources
http://www.mathcentre.ac.uk/students/topics/
Thanks!
3. Managed to finish STEP I 2007 Q5 !

One area of maths which I'm particularly weak at is recurrence relations, particularly the types of questions which define in terms of and then ask you to define in terms of .

What are some good questions that I can do to practice?
4. (Original post by Palette)
Managed to finish STEP I 2007 Q5 !

One area of maths which I'm particularly weak at is recurrence relations, particularly the types of questions which define in terms of and then ask you to define in terms of .

What are some good questions that I can do to practice?
What part of it are you weak at? Making sense of breaking down the recurrence system? If so 15, 17 and 35 of advanced problems in mathematics are good

http://www.mathshelper.co.uk/110501_...athematics.pdf
5. (Original post by ValerieKR)
What part of it are you weak at? Making sense of breaking down the recurrence system? If so 15, 17 and 35 of advanced problems in mathematics are good

http://www.mathshelper.co.uk/110501_...athematics.pdf
It's questions like 10b) here

which I find difficult. Out of interest, do you prefer the old Siklos booklet or the new one?
6. (Original post by Palette)
It's questions like 10b) here

which I find difficult. Out of interest, do you prefer the old Siklos booklet or the new one?
That question's similar to the loans and savings STEP ones (in the late 90s there's a few of those)

I didn't use them too much when I was studying for STEP because I got tempted to scroll down - I'm working through them both now and haven't really gone through the other one properly yet
7. (Original post by Palette)
It's questions like 10b) here

which I find difficult. Out of interest, do you prefer the old Siklos booklet or the new one?
If I give you the answer to that one the method becomes clear, so i've put it in the spoiler
Spoiler:
Show
it's 2^(n-1) +5
if you're stuck you can spot most common ones by taking the difference between terms (here the difference was the sequence 1,2,4,8 etc)
8. (Original post by Blake Jones)
Does anyone have any links to any good A-level maths resources for the quotient rule etc?
Examsolutions
9. Let L be the value of .

Consider the series .

I wrote that is equal to ; am I right?
10. (Original post by Palette)
Let L be the value of .

Consider the series .

I wrote that is equal to ; am I right?
Yeah, looks it
11. (Original post by Palette)
Let L be the value of .

Consider the series .

I wrote that is equal to ; am I right?
Your justification is very fishy, you'd need to prove that converges absolutely.
12. (Original post by Zacken)
Your justification is very fishy, you'd need to prove that converges absolutely.

I think the question (Q16) assumes convergence of otherwise the 'limit of the following infinite series' would not be asked. If I am wrong on this, I may try and exploit the direct comparison test when I'm not in a half-asleep state.
13. (Original post by Palette)

I think the question (Q16) assumes convergence of otherwise the 'limit of the following infinite series' would not be asked. If I am wrong on this, I may try and exploit the direct comparison test when I'm not in a half-asleep state.
It's not too hard to prove it anyway, just note that and is a bounded monotone sequence or apply Cauchy's Condensation Test to get convergence of .
14. (Original post by Zacken)
It's not too hard to prove it anyway, just note that and is a bounded monotone sequence or apply Cauchy's Condensation Test to get convergence of .
Would the direct comparison test work too?
15. (Original post by Palette)
Would the direct comparison test work too?
That is the comparison test?
16. (Original post by Zacken)
That is the comparison test?
Oops, I failed to spot that you just wrote it out in a different form to what I learnt it by; my mistake!
17. (Original post by metrize)
Examsolutions
Ooh thanks!
18. Can you be deducted a mark by writing as instead of ?
19. (Original post by Palette)
Can you be deducted a mark by writing as instead of ?
You could but I don't think it matters too much. It could be important for a definite integral though where the argument inside the log is negative because of one of the limits. It's best to put it when it's needed.
20. Consider . How can one intuitively explain why ?

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: June 26, 2017
Today on TSR

### I don't drink alcohol...

Is freshers still worth it?

### Girlfriend wants me to make her cry...

Discussions on TSR

• Latest
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams