RSS
Converging Root
Problem
Consider the iterative formula, un+1 = 
un + 2. By investigating the behaviour it should become clear that all positive starting values converge to the limit 4.
What form must the positive integer, m, take, for the iterative formula, un+1 = un + m, to converge to an integral root?
Problem ID: 160 (Mar 2004) Difficulty: 3 Star
Show Solution
Hide Solution