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Math Help - Prove

  1. #1
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    Prove

    A real sequence {gn} has a conxtant ratio r, that is, gn+1/gn=r for all n >0 if and only if gn=g0rn for all n>0.
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  2. #2
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    Re: Prove

    Quote Originally Posted by franios View Post
    A real sequence {gn} has a constant ratio r, that is, gn+1/gn=r for all n >0 if and only if gn=g0rn for all n>0.
    Use induction.
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  3. #3
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    Re: Prove

    How would I use induction?
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  4. #4
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    Re: Prove

    Quote Originally Posted by franios View Post
    How would I use induction?
    Is it true for the base case, n=0~?

    If it is true that g_K=g_0r^K is it true for g_{K+1}.

    That is one part. What is the other direction?
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