1. Consider the following linear recurrence relation, on paper: an=can1 for n1. This would be the simplest equation of such data changing with step n. As you can see, once c and a0 are given, all values of an are determined. a) Find the characteristic equation. (1 mark) b) Find the general solution. Use an arbitrary constant to find it. (1 mark) c) Express the arbitrary constant using a0, and rewrite the solution with it. (1 mark) d) Examine how different values of c and a0 affect the motion of a0,a1,a2,, by drawing line graphs. For example, the sign of c, positive or negative would result in totally different graphs