Help In Understanding. (1 Viewer)

[HeroicPandas]

LMAO!

 

[Currybear]

which question of which year?

 

[HeroicPandas]

Hsc 2005

 

[Shadowless]

Question:

MY Answer:

I was wondering if you guys could check if there was anything 'wrong' with my format because during trials, apparently I set up my induction questions poorly and as a result I only got 2 out of a potential 4. =/

 

[Skeptyks]

uh I thought the last sentence had to be the longer version?

 

[Shadowless]

uh I thought the last sentence had to be the longer version?

Longer version? There's a LONGER VERSION?

 

[Skeptyks]

uh i'm not a genius at mx1 but your working out looks fine...
"and thus if the result is true for n=k it follows that it is true for n=k+1"
"since hte statement is true for n=2, the it is true for n=3 and for n=4, and so on for all positive integer values of n."

 

[Shadowless]

uh i'm not a genius at mx1 but your working out looks fine...
"and thus if the result is true for n=k it follows that it is true for n=k+1"
"since hte statement is true for n=2, the it is true for n=3 and for n=4, and so on for all positive integer values of n."

Can someone verify? =/

 

[Yurtles]

Question: View attachment 26810

MY Answer: View attachment 26811

I was wondering if you guys could check if there was anything 'wrong' with my format because during trials, apparently I set up my induction questions poorly and as a result I only got 2 out of a potential 4. =/

I would've done what you did, apart from state that k>=1, therefore 21k - 4 >0, and since 4^k etc >0, LHS is > 0. You seemed to ignore the -4 part :/

 

[HeroicPandas]

Can someone verify? =/

Yep i verify, i would do a long conclusion like this

 

[Shadowless]

I would've done what you did, apart from state that k>=1, therefore 21k - 4 >0, and since 4^k etc >0, LHS is > 0. You seemed to ignore the -4 part :/

What? If you mean the line before my "LHS > 21k" then no I haven't, because we have already proven that the things in the bracket are greater than 1 in the 'verify for n=2' segment.

 

[Yurtles]

What? If you mean the line before my "LHS > 21k" then no I haven't, because we have already proven that the things in the bracket are greater than 1 in the 'verify for n=2' segment.

Did you? All I see is that you proved that it equals 1 when k=2, not that it is greater than one for all values of k (or n). Your assumption was that the things within the brackets were greater than zero

Maybe I'm missing something, running on little sleep

 

[Skeptyks]

Did you? All I see is that you proved that it equals 1 when k=2, not that it is greater than one for all values of k (or n). Your assumption was that the things within the brackets were greater than zero

Maybe I'm missing something, running on little sleep

just wondering why is k>=1?

is it because n=k+1 and n>=2?

 

[Shadowless]

just wondering why is k>=1?

is it because n=k+1 and n>=2?

Yes. Well, that's what I think anyway.

 

[kenkap]

do we need to know simpson's rule and trapezoidal rule??

 

[Skeptyks]

you should learn a.p. and g.p., dunno about simpson's and trapezoidal..

 

[Yurtles]

Yes. Well, that's what I think anyway.

Yeah, that's where I got it from

do we need to know simpson's rule and trapezoidal rule??

Not that this is the place to ask, but I'm pretty sure we do. Its not too difficult though

 

[Shadowless]

Will continue to update this thread with questions throughout the night IF I have to query something. So stay tuned. Thank you.

 

[Fakeuser]

@Shadow - you do NOT have to write that long conclusion for induction. In the words of my maths teacher, you do "not get marks for a memorised sentence".

It's a misconception that you NEED to write the statement. While there's nothing wrong with the statement, it's unnecessary.

 

[Timske]

@Shadow - you do NOT have to write that long conclusion for induction. In the words of my maths teacher, you do "not get marks for a memorised sentence".

It's a misconception that you NEED to write the statement. While there's nothing wrong with the statement, it's unnecessary.

This