Let xn be a sequence of positive integers satisfying x1 = 4, x2 = 6 and xn + 1 is the smallest composite positive integer greater than 2xn – xn – 1. Find x2007.
Sequence of positive integers solution
Problem Page Coordinator: Stephen Lee CMath MIMA – Mathematics in Education and Industry
Acknowledgement: The IMA are indebted to MEI for sourcing and supplying Mathematics Today with these well-known puzzles.
First published in Mathematics Today (December 2014)
