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What a Coincidence!

Stage: 4 Short Challenge Level: Challenge Level:1


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.