## Modelling question about Second order differencel equation

The question is :
A computer dating agency has a loss rate of 35% of its current clients each year (as they either find their perfect partners or give up the search) but is able to recruit new clients at a rate equal to 75% of the previous year’s membership (there is a one year delay in advertising successful weddings – and there are some returning clients). Please formulate a second order difference equation for $c_{n}$, the number of clients at the end of year n, and show that the general solution is $c_{n}=A(1.25)^n+B(-0.6)^n$. Thanks