## Converging Root

#### Problem

Consider the iterative formula, `u`_{n+1} = `u`_{n} + 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, `u`_{n+1} = `u`_{n} + `m`, to converge to an integral root?

Problem ID: 160 (Mar 2004) Difficulty: 3 Star