DDS

Question 1

Find Xk without having preceding terms

Answer 1

a^k(c) + b((1-a^k)/(1-a))

Question 2

fixed point

Answer 2

value x* such that f(x) = x

output and input of map should be the same

x* =ax* +b

x* = b/1-a

Question 3

stable fixed point

Answer 3

attracts any nearby sequence. As DDS continues, output gets closer and closer to f.p
-1<a<1

Question 4

unstable fixed point

Answer 4

repels any nearby sequence. As DDS continues, gets further and further away from f.p
a>1 or a<-1