1. ## difference equation

A hospital is being built in a new suburb and will be opening at the start of 2007. If the inital number of patients is 120 and it is expected to increase by 14% each year, let Mn represent the number of patients after n years and write a difference equation in terms of Mn and Mn+1.

Note that I have colour-coded n and n+1 because they are meant to be subscripts.

2. $M_{n+1}=(1.14)M_n$

Where $M_0 = 120$

I think this works.