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# Mega A Level Maths Thread MK II watch

1. (Original post by DJMayes)
STEP, although the prerequisite knowledge is FP3.
I see. Thanks for the reply I always feel honored as your undoubtedly constantly busy!
2. (Original post by justinawe)
Yes
I keep forgetting to try it . Something maths related: what's the easiest STEP Q ever?
3. (Original post by reubenkinara)
I keep forgetting to try it . Something maths related: what's the easiest STEP Q ever?
Assuming you have the prerequisite knowledge, Q10 of 1994 STEP II can be done in a line.
4. (Original post by DJMayes)
Assuming you have the prerequisite knowledge, Q10 of 1994 STEP II can be done in a line.
Thanks DJ!
5. (Original post by MAyman12)
Hint
Spoiler:
Show
I was focusing far too much on your hint to have any sense like Justin and take a step () back but hey ho

Spoiler:
Show
Let that monster = We kind of have a repeating unit here in the form of:

Consider and the first repeating unit

Comparing this to

Comparing coefficients almost, we see that

We have from

By similar arguments, we can say

Similarly,

If we continue to iterate this series indefinitely by subbing for and for and so forth, we get:

Setting gives:

which is the required series, hence:

6. (Original post by Felix Felicis)
I was focusing far too much on your hint to have any sense like Justin and take a step () back but hey ho

Spoiler:
Show
Let that monster = We kind of have a repeating unit here in the form of:

If we consider the first repeating unit

Comparing this to

Comparing coefficients almost, we see that

We have from

By similar arguments, we can say

Similarly,

If we continue to iterate this series indefinitely by subbing for and for and so forth, we get:

Setting gives:

which is the required series, hence:

Oh god thats one hell of an answer Is it weird that I actually understood what you wrote?
7. (Original post by MAyman12)

Oh god thats one hell of an answer Is it weird that I actually understood what you wrote?
If the hint you gave me is part of Ramanujan's original proof then I applaud him There's no way in hell I would've gotten that otherwise.
8. (Original post by Felix Felicis)
If the hint you gave me is part of Ramanujan's original proof then I applaud him There's no way in hell I would've gotten that otherwise.
Yes, it was part of Ramanujan's original proof.
9. (Original post by MAyman12)
Yes, it was part of Ramanujan's original proof.
Are you okay with this now, or do you want an explanation for my solution?

I did have another part explaining the iteration fully when I wrote it down, but I didn't want to bother typing it out
10. (Original post by Felix Felicis)
I was focusing far too much on your hint to have any sense like Justin and take a step () back but hey ho

Spoiler:
Show
Let that monster = We kind of have a repeating unit here in the form of:

Consider and the first repeating unit

Comparing this to

Comparing coefficients almost, we see that

We have from

By similar arguments, we can say

Similarly,

If we continue to iterate this series indefinitely by subbing for and for and so forth, we get:

Setting gives:

which is the required series, hence:

Considering the fact that you're the one sitting for STEP this time around, you'd better learn to take a step () back
11. (Original post by justinawe)
Considering the fact that you're the one sitting for STEP this time around, you'd better learn to take a step () back
Thinking questions through is overrated.
12. (Original post by Felix Felicis)
Spoiler:
Show
1?
Of course - you weren't supposed to do it though, it is too easy for you.

Here is an alternate way of tackling the someone posted:

Clearly

and

By the preceding inequalities and using we get:

, which inductively yields

Letting gives
13. (Original post by Lord of the Flies)
Of course - you weren't supposed to do it though, it is too easy for you.

Here is an alternate way of tackling the someone posted:

Clearly

and

By the preceding inequalities and using we get:

, which inductively yields

Letting gives
I shall save this for the future
14. (Original post by justinawe)
Considering the fact that you're the one sitting for STEP this time around, you'd better learn to take a step () back
Spoiler:
Show
I'd hate to be the person who spend a lot of time applying loads of lines of wrong reasoning in a STEP exam where time is precious!
15. STEP
16. (Original post by justinawe)
Are you okay with this now, or do you want an explanation for my solution?

I did have another part explaining the iteration fully when I wrote it down, but I didn't want to bother typing it out
Sorry for replying very late but I actually understand it now. It just took me a while. Thank you.
17. Funny how maths students procrastinate by doing more maths...

18. (Original post by ThatRandomGuy)
Funny how maths students procrastinate by doing more maths...

OMG THAT IS SO ME!!! I had to study my American APs and I'm taking A level math next year! I studied math to make self feel less guilty procrastinating! OMG I don't feel alone in the world anymore haha
19. (Original post by Lord of the Flies)
Of course - you weren't supposed to do it though, it is too easy for you.

Here is an alternate way of tackling the someone posted:

Clearly

and

By the preceding inequalities and using we get:

, which inductively yields

Letting gives
You're probably going to have enough time for an hours nap at the end of the STEP exam...
20. (Original post by Lord of the Flies)
Of course - you weren't supposed to do it though, it is too easy for you.

Here is an alternate way of tackling the someone posted:

Spoiler:
Show

Clearly

and

By the preceding inequalities and using we get:

, which inductively yields

Letting gives
Damn, you never cease to amaze me :L PRSOM

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