Deciphering BOSTES solutions to past HSC (1 Viewer)

[mreditor16]

So, I am trying this past HSC Q:



Could someone help me understand the sample answers to part iii)? Thanks!

 

[GOsie]

The Carrotsticks guy wrote solutions which use a different proof. http://community.boredofstudies.org...12-hsc-extension-2-mathematics-solutions.html

Here's the link to his thread.

Granted, I don't really understand his proof either.


With the BOS proof, I'm not sure how to justify it, but if you put in any numbers for n and k that work for n> k(k-1), it works out that n=> k(k-1) +1

(I was playing around with calculator and used the numbers n=7 k=3. It went from > to => No idea how that's justifiable though.

 

[mreditor16]

okay thanks guys.

keen to hear what Carret or Trebla have to say!

 

[emilios]

3>2

3>= 2 + 1

In general if you have a case where n>k and n,k are BOTH INTEGERS then adding 1 to the smaller number will still guarantee n>= that number, since the smallest difference you can have between two integers is 1

 

[GOsie]

okay thanks guys.

keen to hear what Carret or Trebla have to say!

I just realised why they added 1

If an integer is MORE than, it has to be MORE than by at least one. If you add 1 to it, it can be MORE than or EQUAL TO.

 

[GOsie]

3>2

3>= 2 + 1

In general if you have a case where n>k and n,k are BOTH INTEGERS then adding 1 to the smaller number will still guarantee n>= that number, since the smallest difference you can have between two integers is 1

Damn beat me to it!

 

[mreditor16]

3>2

3>= 2 + 1

In general if you have a case where n>k and n,k are BOTH INTEGERS then adding 1 to the smaller number will still guarantee n>= that number, since the smallest difference you can have between two integers is 1

makes sense now. thanks man! BOSTES solutions didn't explain it properly :/

You must spread some Reputation around before giving it to emilios again.

thanks man!

 

[emilios]

nws man.

that was a killer question. i felt like a king when i got the first part of it out, but doing that that whole n>k+1 thing is something i never would've thought to do in an exam so dem feelz

 

[GOsie]

makes sense now. thanks man! BOSTES solutions didn't explain it properly :/

You must spread some Reputation around before giving it to emilios again.

thanks man!

I gave on your behalf.

 

[mreditor16]

nws man.

that was a killer question. i felt like a king when i got the first part of it out, but doing that that whole n>k+1 thing is something i never would've thought to do in an exam so dem feelz

haha same same :/

 

[IR]

Nice work man. Wait I think I had another technique to that part instead of adding 1, I did something else. If I can remember, I will tell you. But yeh the hardest part was understanding the first part i) and then the rest follow smoothly.

 

[faisalabdul16]

BOSTES solutions never explain shit!

 

[IR]

BOSTES solutions never explain shit!

Bro it was a straight forward question after the first part.

 

[faisalabdul16]

Bro it was a straight forward question after the first part.

Not in regards to this question, I've noted in some other papers

 

[IR]

Not in regards to this question, I've noted in some other papers

Oh ok. Hopefully, we can perform well in HSC. I am so Damn worried cos if I don't get like 98, I am screwed. Btw how much raw for 99 scaled?

 

[seventhroot]

use maths in focus; she has some pretty good solutions















inb4enigma

 

[IR]

use maths in focus; she has some pretty good solutions















inb4enigma

True. Yet better understanding maths series.