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1. Hi, I am stuck on a question from the fp1 textbook for proof by mathematical induction. I am not sure how to simplify the expression to get the answer (which I have written in the margian of the page). The factorial is throwing me off.

Could anyone please explain how to tackle a problem like this?

Thanks alot
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2. (Original post by ben789)
Hi, I am stuck on a question from the fp1 textbook for proof by mathematical induction. I am not sure how to simplify the expression to get the answer (which I have written in the margian of the page). The factorial is throwing me off.

Could anyone please explain how to tackle a problem like this?

Thanks alot
When you do a proof by induction, you aim to write the inductive step in a way that you can use your assumption.

So you could have written this out straight away and saved some ink:

Now take (k+1)! out as a factor.
Then use: (n+1)n!=(n+1)!
3. (Original post by rayquaza17)
When you do a proof by induction, you aim to write the inductive step in a way that you can use your assumption.

So you could have written this out straight away and saved some ink:

Now take (k+1)! out as a factor.
Then use: (n+1)n!=(n+1)!
Heya, thanks for your helpful reply, I had never heard of the method you told me until now but I think I understand it now thanks to you

Are my workings correct?
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4. (Original post by ben789)
Heya, thanks for your helpful reply, I had never heard of the method you told me until now but I think I understand it now thanks to you

Are my workings correct?
Only problem is two lines above where you say "since", the -1 should be outside of the square brackets. Other than that, it's correct.
5. (Original post by rayquaza17)
Only problem is two lines above where you say "since", the -1 should be outside of the square brackets. Other than that, it's correct.
Ah ok, I see, thank you for your help

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