Of 375 musicians at a high school, some play only in the jazz band, some play only in the marching band, and some play in both.
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So that is what we call a ratio and it looks like this
By induction:
It's true for
, since 
clearly contains a factor of 3.
Suppose it's true for
, that 
is divisible by 3. Then
where
is an integer. This reduces to
and both terms are clearly multiples of 3. We know that
is an integer since we had set 
previously, which implies is a multiple of 
. So the statement is true.
It's true for
Suppose it's true for
where
and both terms are clearly multiples of 3. We know that
