Chapter 5.2, Problem 132E

[T] A version of von Bertalanffy growth can be used to estimate the age of an individual in a homogeneous species from its length if the annual increase in year n + 1 satisfies , $a_n{}_{+1}=k\left(S-S_n\right)$. with $S_n$ as the length at year n. S as a limiting length, and k as a relative growth constant. If $S_1=3$ . $S_1=9$ . and k = 1/2. numerically estimate the smallest value of ii such that $S_n\ge 8$ . Note that $S_{n+1}=S_{n+1}$ • Find the corresponding ii when k= 1/4.