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Mathematics Extension 1 Predictions/Thoughts (2 Viewers)

modgrinder

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Any last tips/thoughts before the exam?

Also are we thinking binomial proofs will be tested?
 

Unovan

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Any last tips/thoughts before the exam?

Also are we thinking binomial proofs will be tested?
Yeah q14 binomial proof incoming get ready

Tip: if you get stuck move on and come back idk any good tips lmao
 

Masaken

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do u guys have any examples of binomial proofs
a few trials have good ones (sorry they don't come to mind rn) but if ur desperate just look through year 11 prelim exams. that's what I did a few days ago, there's some really good ones in those papers since it's a y11 topic
 

yang1209

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do u guys have any examples of binomial proofs
Screen Shot 2023-10-20 at 11.20.57 am.png
Good luck bro, hope this ain't too late. So basically you expand the two identities and get the coefficients of x^r from one side and the other, and then you let x equal to 1, so LHS=RHS. With these proof questions there's typically a part 2 asking you to use the statement proved in part 1. Try attempt this, should be in a similar style. BTW this is from 2018 HSC so might be outdated but idk, use this as a reference.
 

carrotsss

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@carrotsss please give some good tips for binomial proofs??
idk the main thing is to just expand, simplify and then equate things where necessary. there’s no real silver bullet it’s just practice and just figuring out what the question is leading you towards and trying it
 

carrotsss

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also for binomial proofs make sure you remember the identities mentioned in their syllabus dot point:

nC0=nCn=1

nCr=(n-1)C(r-1) + (n-1)Cr (1<=r<=n-1)

nCr=nC(n-r)
 

scacredcat

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The key is figuring out whether to differentiate, integrate, Substitute or equate coefficients
you can usually tell (at least for dif or int) depending on the power on the shorter side; like if it has the power (n+1) then you know its most likely an integration, but if its (n-1) then probs a differentiation. also if there's a two on the shorter side chances are you need to sub one into the equation. also if its equating coeffs it'll just be coeffs on both sides.
 

Unovan

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you can usually tell (at least for dif or int) depending on the power on the shorter side; like if it has the power (n+1) then you know its most likely an integration, but if its (n-1) then probs a differentiation. also if there's a two on the shorter side chances are you need to sub one into the equation. also if its equating coeffs it'll just be coeffs on both sides.
Yeh whole numbers signify diff, fractions integration, you can usually tell sub just by inspection and coefficients if it's coefficients. Generally speaking
 

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