# Math Help - Prove

1. ## 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.

2. ## Re: Prove

Originally Posted by franios
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.

3. ## Re: Prove

How would I use induction?

4. ## Re: Prove

Originally Posted by franios
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?