Iteration of apparently simple functions can produce complex behaviors and difficult problems – for examples, see the Collatz conjecture and juggler sequences.
The following pseudocode "iterates" three times the line of code between begin & end through a for loop, and uses the values of i as increments.
The primary difference is that recursion can be employed as a solution without prior knowledge as to how many times the action will have to repeat, while a successful iteration requires that foreknowledge.
The code below is an example of a recursive algorithm in the Scheme programming language that will output the same result as the pseudocode under the previous heading.
In particular, "iterative" is defined as the "process of learning and development that involves cyclical inquiry, enabling multiple opportunities for people to revisit ideas and critically reflect on their implication.
"[1] Unlike computing and math, educational iterations are not predetermined; instead, the task is repeated until success according to some external criteria (often a test) is achieved.