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Thread: mathematical induction with an inequality

  1. #1
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    mathematical induction with an inequality

    Dear all,
    I am having some trouble with this question. I looked at the markscheme and it doesn't really make sense to me. Please would someone be able to explain it? Thank you,
    mathematical induction with an inequality-mathematical-induction-question.jpgmathematical induction with an inequality-mathematical-induction-markscheme.jpg
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  2. #2
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    Re: mathematical induction with an inequality

    Quote Originally Posted by bbear123 View Post
    Dear all,
    I am having some trouble with this question. I looked at the markscheme and it doesn't really make sense to me. Please would someone be able to explain it? Thank you,
    Click image for larger version. 

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    You must tell us much more. At what point in the proof do you loose understanding?

    Do you understand the proof down to: $\ge 2(k+1)(2k+1)[2k]!2^k~?$
    Last edited by Plato; Apr 2nd 2018 at 12:49 PM.
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  3. #3
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    Re: mathematical induction with an inequality

    Now I understand it, nevermind! At first I didn't understand the first A1 step of the proof
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