Proof by Induction 3 • Divisibility Proofs (simple) • CP1 Ex8B • 🏅

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This is going to probably sound really stupid but can you write let's say 2 x 3^k as 2(3^k) or do the examiners want it in the first form

ozone
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Im teaching further maths for the first time this year. Your lessons are a godsend. Thank you!

mattsmith
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sir, for the n=k+1 step, could i still just plug n as k+1, and would it work? Also sir, are there any exceptions to the f(k+1) - f(k) rule. Can i use it for all types of proof by induction questions?

bharadwajeddanapudi
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i dont understand when you say you do the f(k+1) - f(k) to only make the algebra easier? so how would you do it without?

BBK