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Math Help - Induction exercise

  1. #1
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    Induction exercise

    How do I prove that the next expression is true for every natural n that is above 1:


    thanks
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Induction exercise

    What have you tried?
    Do you know how induction works?
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  3. #3
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    Re: Induction exercise

    n=k:


    n=k+1:



    no idea how to continue
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  4. #4
    MHF Contributor Siron's Avatar
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    Re: Induction exercise

    By observation I would start with the given inequality which holds:
    2^{k-1}(2^k+3^k)>5^k

    Multiply both sides with a factor 5 and proceed.
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