It is the sum of a geometric series
Geometric series - Wikipedia, the free encyclopedia
I'm reading a chapter on first order difference equations in which they use the example of population growth given by the model:
Where is the reproduction rate and is the rate of immigration.
They then go on to assume that if they can simplify the equation to the compact form:
but I'm completely lost on the jump between the two. If anyone could shed some light on this it would be much appreciated.
It is the sum of a geometric series
Geometric series - Wikipedia, the free encyclopedia