Proofs šŸ„² (1 Viewer)

Hello_World2

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I don't have a clue of where to start this question? Can someone pls help ? Thanks !
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Hello_World2

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Bruh, for questions 4 and 5 I tried doing it, and then it got too complicated to solve. What am I doing wrong ??

Pls help thanks
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Drongoski

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For Q5:



So there you are.

Q4 requires quite a bit of LaTeX; so I'll give it a miss at the moment.
 
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hogzillaAnson

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4) Let's skip straight to the inductive step.


This is where it gets hard. We must show somehow that

This is equivalent to proving that

Consider that

Thus, we can conclude that

and by induction, the statement is true for all

5) Considerably easier than 4 I think. Again, skip to the induction step


Now,

Therefore

By P.O.M.I, the statement is true for all
 
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