1

The recursive formula is

$a_n$ = 1.28($a_{n-1}$ ) - (.28$a_{n-1}$)^2

I would like to transform this into one side of the equation being $a_n$ such that the equation requires no recursion (allowing me to solve for large values of n)

$a_0$ = 0.12

Spaazmaster
  • 101
  • Please enclose the whole formula with two dollar signs to represent it . – Etemon Apr 30 '21 at 06:44
  • 1
    There is generally no way to do the transformation you want, Spaaz. See, e.g., https://en.wikipedia.org/wiki/Logistic_map – Gerry Myerson Apr 30 '21 at 06:59
  • What are you trying to accomplish by calculating $a_n$ for large $n$? This particular sequence monotonically converges, so $a_n$ just becomes a better and better approximation of the limit as $n$ grows larger. – user3733558 Apr 30 '21 at 09:26

0 Answers0