Copyright © University of Cambridge. All rights reserved.

'In One... and the Other' printed from

Show menu

The sequences have common differences of $7$ and $9$ respectively.

The lowest common multiple of $7$ and $9$ is $63$, so the next term after $2005$ to appear in both sequences is $2005 + 63$, that is $2068$.

This problem is taken from the UKMT Mathematical Challenges.
View the archive of all weekly problems grouped by curriculum topic

View the previous week's solution
View the current weekly problem