Chapter 12, Problem 12.11P

(a)

To determine

Whether ${\gamma }_{n+1}-{\gamma }_n={\left(\frac{1}{\delta }\right)}^{n-1}\left({\gamma }_n-{\gamma }_{n+1}\right)$ is true for all values of threshold in table 12.1.

(b)

To determine

Plot the graph of $\ln \left({\gamma }_{n+1}-{\gamma }_n\right)$ against $n$ and find the Feigenbaum number $\delta$.